Question

triangle c is a scaled copy of triangle b.
triangle b: angles 70°, 70°, 40°; sides 24, 24.
triangle c: sides 30, 30; angle a°.
what is the value of a?

Explanation:

Step1: Recall scaled copy property

A scaled copy preserves angle measures. So triangle C has the same angles as triangle B.

Step2: Identify corresponding angle

In triangle B, the angle at the bottom is \(40^\circ\). Since triangle C is a scaled copy, angle \(a\) corresponds to this \(40^\circ\) angle.

Answer:

\(40\)