Question

What is the value of x in the rhombus below?

Answer 1

The diagonals of a rhombus bisect each other at right angles (90°) and in a triangle, the three interior angles always add to 180° ⇒

3x + 2 + 4x - 10 + 90 = 180
7x + 82 = 180
7x = 180 - 82
7x = 98
x = 98/7
x = 14

Answer 2

`3x+2+4x-10=180\\ 7x=188\\ x\approx27`