Question

try it! 1. given two angle measures in a triangle, can you find the measure of the third angle? explain. enter your answer.

Explanation:

The sum of the interior angles of a triangle is always \( 180^\circ \) (this is a fundamental geometric theorem). If we know two of the angle measures, say \( \angle A \) and \( \angle B \), we can find the third angle \( \angle C \) by using the formula \( \angle C=180^\circ - \angle A-\angle B \). For example, if \( \angle A = 30^\circ \) and \( \angle B=60^\circ \), then \( \angle C = 180^\circ-30^\circ - 60^\circ=90^\circ \). So, with the knowledge of the angle - sum property of triangles, we can find the measure of the third angle when two angle measures are given.

Answer:

Yes, we can find the measure of the third angle. The sum of the interior angles of a triangle is \( 180^\circ \). If the two known angles are \( \angle 1 \) and \( \angle 2 \), the third angle \( \angle 3=180^\circ-\angle 1 - \angle 2 \).