Question

for the figure shown, find m∠1 and m∠2. m∠1 = □° (the figure is not drawn to scale.) question 9 of 15

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 \(31^{\circ}\) and \(\angle1\), the exterior angle is \(97^{\circ}\). So, \(97^{\circ}=31^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

Subtract \(31^{\circ}\) from both sides of the equation: \(\angle1 = 97^{\circ}-31^{\circ}\).

Answer:

\(66\)