Answer:
The answer to your question is ∠QRT = 47; ∠TRS = 133°
Step-by-step explanation:
1.- Find the measure of x
The sum of supplementary angles equals 180°
(3x + 5) + (10x - 7) = 180
3x + 5 + 10x - 7 = 180
13x - 2 = 180
13x = 180 + 2
13x = 182
x = 182 / 13
x = 14
2.- Find the value of ∠QRT
∠QRT = 3x + 5
= 3(14) + 5
= 42 + 5
= 47
3.- Find the value of ∠ TRS = 10x -7
= 10(14) - 7
= 140 - 7
= 133°
