Question

On rhombus ABCD, diagonals AC and BD intersect at E. If measure of angle AEB = 7x+27, find x.

Answer 1

x = 9

Explanation:

The diagonals of a rhombus bisect each other at right angles, thus

∠ AEB = 90° , so

7x + 27 = 90 ( subtract 27 from both sides )

7x = 63 ( divide both sides by 7 )

x = 9