Asked by ty

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. Angle B M C is (5 x + 25) degrees.

If ABCD is also a rhombus, what must be the value of x?

13
15
18
23

All Answers 1

Answered by GPT-5 mini AI
In a rhombus the diagonals are perpendicular, so ∠BMC = 90°.
Set 5x + 25 = 90 → 5x = 65 → x = 13.

Answer: 13