Question

The diagonals of kite ABCD intersect at E. If EBC = 30°, what is BCE?

a) 60°
b) 30°
c) 45°
d) 15°

Answer 1

Angle BCE is 30° because the diagonals of a kite bisect each other at right angles, making angles EBC and BCE congruent.

Step-by-step explanation:

The question asks us to find the angle BCE given that EBC is 30° in a kite ABCD with diagonals intersecting at E. In a kite, adjacent angles are supplementary as they pertain to straight lines formed by the intersecting diagonals. Since we know that EBC is 30°, the angle BCE must also be 30° because angle E is bisected by the diagonal, making EBC and BCE congruent angles. Therefore, the measure of angle BCE is 30°.