Question

Can someone help me on this math problem.

Answer 1

In the rhombus, the diagonals are perpendicular.

We know, the sum of the measures of the triangle is equal 180°.

Therefore we have the equation:

$(2x-15)+3x+90=180$

$2x-15+3x+90=180$        combine like terms

$(2x+3x)+(-15+90)=180$

$5x+75=180$        subtract 75 from both sides

$5x=105$              divide both sides by 5

$\boxed{x=21}$

Answer: x = 21°