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°