Question

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

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

Answer 1

The measure of angle E is 180 degrees.

Step-by-step explanation:

To find the measure of angle E, we can use the fact that the sum of angles in a quadrilateral is 360 degrees. Since AEFG is a quadrilateral, the sum of its angles is 360 degrees. We know that angle J is 90 degrees, angle K is 26 degrees, and angle L is 64 degrees. To find angle E, we subtract the sum of angles J, K, and L from 360 degrees:

Angle E = 360 - (90 + 26 + 64) = 360 - 180 = 180 degrees.

Therefore, the measure of angle E is 180 degrees.