Explanation Given: Calculation: The sum of the measures of the triangle angle is 180 ∘ . Also the sum of two non-adjacent interior angles are equal to the triangle exterior angle. If the y ∘ measure is 50 ∘ . The x ∘ measure is 180 ∘ − ( 50 ∘ + 50 ∘ ) = 180 ∘ − 100 ∘ = 80 ∘ Thesum of two non-adjacent interior angles be 50 ∘ + 80 ∘ = 130 ∘ is not equal to triangle exterior angle 3 ( 80 ) − 10 = 230 ∘ The guess is incorrect. So model and check the problem. Consider x and y are the degree of two angles. Sum of the measures = 180 ∘ x + 2 y = 180 Sum of the measuresof the interior angle=exterior angle x + y = 3 x − 10 Solve both equations x + 2 y = 180 .........(1) x + y = 3 x − 10 Take the second solution x + y = 3 x − 10 x − 3 x + y = − 10 − 2 x + y = − 10 − 2 x + y = − 10 …

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 11.5, Problem 53ES

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The values of x and y .

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Ch. 11.1 - Prob. 1VRVC Ch. 11.1 - Prob. 2VRVC Ch. 11.1 - Prob. 3VRVC Ch. 11.1 - Prob. 4VRVC Ch. 11.1 - Prob. 5VRVC Ch. 11.1 - Prob. 6VRVC Ch. 11.1 - Prob. 1ES Ch. 11.1 - Prob. 2ES Ch. 11.1 - Prob. 3ES Ch. 11.1 - Prob. 4ES

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The values of x and y .

Solution Summary: The author calculates the sum of the measures of x and y, which is equal to the triangle exterior angle.

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To find:

The values of x and y .