Question

for the figure shown, find m∠1 and m∠2. (the figure is not drawn to scale)

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the triangle with angle 1, the exterior angle is 93° and one non - adjacent interior angle is 32°. Let \(m\angle1=x\). Then \(93^{\circ}=32^{\circ}+x\).

Step2: Solve for \(m\angle1\)

Subtract 32° from both sides of the equation \(93 = 32+x\). So \(x=m\angle1=93 - 32\).
\(m\angle1 = 61^{\circ}\)

Answer:

61