Answer:
x = 3
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