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yuradex [85]
3 years ago
5

What is the value of x?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
4 0

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

∠QRT and ∠SRT are supplementary angles,

therefore m∠QRT + m∠SRT = 180°.

(45x)° + m∠SRT = 180°            <em>subtract (45x)° from both sides</em>

m∠SRT = 180° - (45x)°

We know: the sum of the measures of the angles of the triangle is equal to 180 °. Therefore we have the equation:

(180 - 45x) + (57 + x) + 25x = 180         <em>combine like terms</em>

(-45x + x + 25x) + (180 + 57) = 180

-19x + 237 = 180             <em>subtract 237 from both sides</em>

-19x = -57             <em>divide both sides by (-19)</em>

x = 3

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