The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of the angles.

Q: Find the measure of an angle if the measures of a supplement and a complement of the angle have the…

A: it is given  that,  the ratio  of  supplement and a complement of the  angle = 5:2 let angle is =x…

Q: The measures of two angles of a triangle are 56 and 62. The measure ofthe largest exterior angle of…

A: Given- The measures of two angles of a triangle are 56° and 62°. To find- The measure of the largest…

Q: The triangles are similar, find the value of x.

A: If two triangle are similar then their corresponding sides are in proportion.

Q: The angle of a sector is 30 degrees and the radius is 15 cm. What is the area of the sector in…

A: Area of a sector = θ360°πr2 ; where 'r' is the radius and 'θ' is the angle.

Q: The ratio of the measure of the supplement of an angle to that of the complement of the angle is…

A: Since, we have been given that the ratio of the measure of the supplementof an angle to that of the…

Q: the ratio of two supplementary angles is 7:5. Find the measure of each angle

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Q: The ratio of the measures of the angles in a triangle is 11:2:5. Find the measure of the largest…

A: Given ratio is 11:2:5 assume angles are 11x , 2x , 5x

Q: Two angles are supplementary. If one angle is 36° less than twice of the other angle, find the…

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Q: The length of a side of an triangle is 30 cm. Find the height of the triangle. equilateral

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Q: Explain why the triangles are similar. Then find the value of x. 12 8.

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Q: The side length of an equilateral triangle is 5 centimeters. Find the length of an altitude. Round…

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Q: Two complementary angles are (x + 3)° and (x + 9)°. What are the measures of the angles?

A: Since, it is given that the two complementary angles are (x+3)° and (x+9)°.Our Aim is to find the…

Q: Two angles are supplementary. One measures 3x−23x−2 and the other measures 2x+72x+7. Find the value…

A: Consider that the two angles are called supplementary, if the sum of their absolute values is 180°.…

Q: The largest two angles of a triangle are two and three times as large as. the smallest angle. Find…

A: Reframe the given conditions. One angle of a triangle is double the smallest angle and second angle…

Q: One side of a triangle is twice another. The third side is 6 more than the smallest side. The…

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Q: The ratio of the measures of the angles in a triangle is 8:3:4. Find the measures of the angles.

A: We will use the fact that sum of angles of a triangle is equal to 180°

Q: An angle measures 85.4° less than the measure of its complementary angle. What is the measure of…

A: Two angles are said to be  complementry when their sum adds to 90 degree.

Q: The measures of the interior angles of a quadrilateral are x°, 2x°, 3x° and 4x°. What is the measure…

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Q: Record only a number as the answer to each question. D If angle C is 78.2 degrees, what is the…

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Q: The side length of an equilateral triangle is 5 centimeters. Find the length of an altitude.

A: By using formula of altitude=(√3/2) side length

Q: The measure of an angle is five times the measure of its complement. Find the measure of each angle.

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Q: The measure of one interior angle of a parallelogram is 4 Time the measure of another angle. What is…

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Q: The two triangles are similar. What is the value of x? Enter your answer in the box.

A: It is given that two triangles are similar.  Here,  AB=5x-2, BC=6xDB= 12+4 = 16BM = 12

Q: - An angle measures 16°. What is the complement of the angle?

A: Let given angle x=16 Find complement angle

Q: Find the perimeter of a triangle if one side is 16 feet, another side is two-sevenths the perimeter,…

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Q: In Triangle STP, the measure of <T is twice the measure of <S and the measure of <P is three times…

A: As we know that the sum of the interior angles of a triangle is180°.see below the calculation

Q: In the diagram, two lines intersect. If the measure of angle A is 34 degrees, what is the measure of…

A: sum of the straight line angle is 180 degree.

Q: The measure of two of the interior angles of a triangle are 65° and 51°. What is the measure of the…

A: We know that sum of interior angle of triangle is 180°.

Q: Two angles are complimentary. If one angle is twice the other, find the smaller angle.

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Q: The triangles are similar. What is the value of x?

A: The given figure and Given that triangles are similar we have to find the value of x.

Q: One of the angles of an isosceles triangle measures 96°. What is the measure of the largest angle(s)…

A: It is known that the triangle is isosceles and one of its angle measures 96∘. Let the measure other…

Q: with the road. How long are the other two sides? The longer side of the triangular plot is feet. The…

A: Use sine law to solve

Q: An isosceles triangle has a perimeter of 17cm if the the hypotenuse is 7 cm . Find the length of the…

A: Iscoceles triangle means that both sides are equal

Q: A triangle has side lengths 10 feet, V205 feet, and V105 feet. Is this a right triangle? Explain.

A: Definition of the right-angled triangle helps to determine the type of triangle. A triangle is said…

Q: The ratio of the side lengths of a triangle is 7:12:19. The triangle's perimeter is 418 inches. Find…

A: Perimeter of the triangle = Sum of all the three side length of the triangle

Q: The figures A and B are similar. Figure A has an area of 48 square feet and one of the side lengths…

A: Given, Two figures A and B are similar.  Area of figure A is 48 square feet and one of the side…

Q: The measure of an angle and its supplement are in the ratio 7:3. Find the measure of the two angles.

A: This question is based on supplementary angles: two angles whose sum is 180 degrees.

Q: Find the length of the third side. I

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Q: what

A: If the other two angles be equal to x. Since they are equal we assume both of them to be x.   So…

Q: The reference angle of 224 degrees is 44 g degrees. The reference angle of 300 degrees is degrees.…

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Q: solve for the remaining side(s) and angle(s) if possible. as in the text, (α,a), (ß,b) and (γ,c) are…

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Q: complementary angles are in the ratio of 1:5

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Q: The difference of two complementary angles is 55 degrees. Find the measures of the angles.

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Q: An angle measures 58° more than the measure of its supplementary angle. What is the measure of each…

A: We have to find the values of both the angels.

Q: A right triangle has a 30 degree angle. The shortest leg is 8/3. What are the lengths of the other…

A: Topic- trigonometric Ratios

Q: The sides of a triangle are 20 cm, 25 cm and 30 cm. Find the length of the altitude to the longest…

A:

Q: Given the picture below, which is the longest side?  Explain how you know.

A: Angle P = 15 degrees Angle Q = 41 degrees Angle R = 124 degrees. Let's name sides; PQ = r PR = q RQ…

Q: The sides of a right angle triangle are (x+1)cm,(x+3)cm and (x+5)cm.Find the perimeter of the…

A: Given that the sides of right angle triangle are x+1 cm, x+3 cm and x+5 cm.

Q: Find the value of the variable and the measure of each labeled angle. (x+17) (4x-31)°

A: At point of intersection vertically opposite angles are always equal. ⇒x=y

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.