Question

Assume AEFG AJKL. If m J = 90°, m K = 26°, and m L = 64°, what is the measure of E?

A. 90°
B. Cannot be determined
C. 64°
D. 26°

Answer 1

The measure of angle E is 90° because AEFG and AJKL are congruent figures and their corresponding angles are equal.

Step-by-step explanation:

If AEFG and AJKL are assumed to be congruent, then corresponding angles in congruent figures are equal in measure. Therefore, since m J = 90°, m K = 26°, and m L = 64°, the measure of angle E corresponding to angle J would also be 90°. This is due to the fact that both AEFG and AJKL having the same angle measures suggests that they are similar or congruent figures, which means their corresponding angles are equal.

The measure of angle E in the figure AEFG is thus 90°. Therefore, the correct answer is A. 90°.