Question

if these two figures are similar, what is the measure of the missing angle? 33° 88° 59°?

Explanation:

Step1: Recall property of similar figures

Similar figures have equal - corresponding angles.

Step2: Use angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In the first triangle, the angles are 33°, 59°, and 88°. For the second similar triangle, the missing angle corresponds to one of the angles in the first triangle. Since the sum of angles in a triangle is fixed at 180°, and corresponding angles of similar triangles are equal, the missing angle is 33°.

Answer:

33