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3 years ago

What is the value of x?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

∠QRT and ∠SRT are supplementary angles,

therefore m∠QRT + m∠SRT = 180°.

(45x)° + m∠SRT = 180° subtract (45x)° from both sides

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 combine like terms

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

-19x + 237 = 180 subtract 237 from both sides

-19x = -57 divide both sides by (-19)

x = 3

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3 years ago

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3 years ago

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UNO [17]

Answer:

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3 years ago