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Leya [2.2K]
2 years ago
8

Can someone help me on this math problem.

Mathematics
1 answer:
nekit [7.7K]2 years ago
4 0

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        <em>combine like terms</em>

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

5x+75=180        <em>subtract 75 from both sides</em>

5x=105              <em>divide both sides by 5</em>

\boxed{x=21}

<h3>Answer: x = 21°</h3>
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