Question

if these two figures are similar, what is the measure of the missing angle? 59° 89° 32° ?

Explanation:

Step1: Recall angle - property of similar figures

Similar figures have equal corresponding angles.

Step2: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. For the first triangle, the angles are 59°, 89°, and 32°. For the second similar triangle, the missing angle corresponds to one of the angles of the first triangle.

Step3: Identify the missing - angle

Since the triangles are similar, the missing angle is equal to one of the angles of the first triangle. The missing angle is 59°.

Answer:

59