Question

part 1 of 2 for the figure shown, find m∠1 and m∠2. m∠1=□° (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. In the given triangle, the exterior angle is \(90^{\circ}\), and the two non - adjacent interior angles are \(31^{\circ}\) and \(\angle1\). So, \(90^{\circ}=31^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

Subtract \(31^{\circ}\) from both sides of the equation: \(\angle1 = 90^{\circ}-31^{\circ}\).
\(\angle1=59^{\circ}\)

Answer:

\(59\)