Question

ABCE is a parallelogram . determine the meaSure of

Answer 1

D. 78°

Explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

Therefore,

`3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = (52)/(2) \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 * 26) \degree \\ \\ m\angle B = 78\degree`