Answer:
m∠QRT = 47°
m∠TRS = 133°
Step-by-step explanation:
Because points Q, R, and S are collinear, ∠QRT and ∠TRS are supplementary. This means that:
m∠QRT + m∠TRS = 180°
Plug-in the known values and simplify:
3x + 5 + 10x - 7 = 180
13x - 2 = 180
13x = 182
x = 14
Now that you have the value of x, plug them into the values of the angles:
m∠QRT = 3x+ 5
= 3(14) + 5
= 42 + 5
= 47°
m∠TRS = 10x - 7
= 10(14) - 7
= 140 - 7
= 133°
To double-check:
133° + 47° = 180° ☺
