Question

The pentagons shown are congruent. Complete.

$\underset{¯}{?}\mathbf{=}\mathbf{m}\angle \mathbf{E}$

Short answer

$\mathbf{m}\angle \mathbf{C}=m\angle E$

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Description of step.

The given pentagons are congruent.

Therefore, corresponding angles and corresponding sides of pentagons will be equal.

Step 3. Write the conclusion.

From the given diagram it can be noticed that the corresponding angles for the angles $B,L,A,C$and $K$are the angles $R,O,H,E$and $S$respectively. Therefore, the corresponding angle for the angle $E$is the anglerole="math" localid="1638190740694" $C.$

Therefore, the measures of the angle $E$is equal to measure of angle $C$.

Therefore, $m\angle C=m\angle E$.