m∠Q = 44° is the answer
Step-by-step explanation:
Using the cosine formula we can find the angle Q as,
RS² =RQ² + QS²-2(RQ)(QS) cos Q
24² = 20² + 34² - 2(20)(34) cos Q
576 = 400 + 1156 - 1360 cos Q
1360 cos Q = 400 + 1156 - 576
cos Q = 980/1360 = 0.72
Q = cos ⁻¹(0.72) = 44°
