Question

Suppose that QRS is isosceles with base SQ . Suppose also that =m∠R=(2x+29)° and =m∠Q=(4x+9)° . Find the degree measure of each angle in the triangle.

Answer 1

∠R = 55.6°

∠Q = 62.2°

∠S = 62.2°

Explanation:

total interior angle sum = 180°

2x + 29 + 4x + 9 + 4x + 9 = 180

combine like terms:

10x + 47 = 180

subtract 47 from both sides of the equation:

10x = 133

divide both sides by 10:

x = 13.3

∠R = 2(13.3) + 29 = 55.6°

∠Q = 4(13.3) + 9 = 62.2°

∠S = ∠Q