Question

What is the value of x?

Answer 1

Answer:

x = 3

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