Answer:
∠SXN = 108°; ∠SXV = 72°
Step-by-step explanation:
∠SXN
∠YNP and ∠ QNX are vertically opposite angles, so
∠QNX = ∠YNP = 56°
∠QNX + ∠SNX = 90°
56 + ∠SNX = 90 Subtract 56 from each side
∠SNX = 34°
∠SNX + ∠XSN + ∠SXN = 180°
34 + 38 + ∠SXN = 180
72 + ∠SXN = 180 Subtract 72 from each side
∠SXN = 108°
∠SXV
∠SXN and ∠SXV are supplementary angles, so
∠SXN + ∠SXV = 180
108 + ∠SXV = 180 Subtract 108 from each side
∠SXV = 72°
