Question

The two triangles below are similar $\Delta ABC\sim \Delta EFD$.

What is the value of$\angle C$?

• A. ${80}^o$
• B. ${30}^o$
• C. ${70}^o$
• D. ${60}^o$

Answer 1

The correct option is B ${30}^o$

Because the triangles are similar, corresponding angles are congruent and corresponding sides are proportional.
$\angle C$ corresponds to $\angle D$.
Since $m\angle D$ $={30}^o$, $m\angle C$ $={30}^o$