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 angles \(32^{\circ}\) and \(\angle1\) and exterior angle \(93^{\circ}\), we have the equation \(93^{\circ}=32^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

Subtract \(32^{\circ}\) from both sides of the equation: \(\angle1 = 93^{\circ}-32^{\circ}\).

Answer:

\(61\)