Question

writing for the figure shown, find m∠1. use pencil and paper. explain two ways to find the missing angle measure of the triangle. m∠1=□°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In the given right - triangle (one angle is \(90^{\circ}\)), the two non - adjacent interior angles are \(27^{\circ}\) and \(90^{\circ}\). So, \(m\angle1=27^{\circ}+90^{\circ}\)

Step2: Calculate the sum

\(27 + 90=117\)

Answer:

\(117\)