Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
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The chord- chord angle 3 is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, thus
∠ 3 = [tex]\frac{1}{2}[/tex] (100 + 60)° = 0.5 × 160° = 80°
∠ 3 and ∠ 4 are adjacent angles and supplementary, thus
∠ 4 = 180° - 80° = 100°
Thus
Angle Value
1 110
2 70
3 80
4 100
