Answer:
x = 17
Step-by-step explanation:
We know:
1. Diagonals of a rhombus are perpendicular.
2. Diagonals divide the rhombus on four congruent right triangles.
3. The sum of measures of acute angles in a right triangle is equal 90°.
Therefore we have the equation:
(2x + 3) + (3x + 2) = 90 combine like terms
(2x + 3x) + (3 + 2) = 90
5x + 5 = 90 subtract 5 from both sides
5x = 85 divide both sides by 5
x = 17
