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
