Question

Can someone help me solve this 15 points

Answer 1

see explanation

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 =
`(1)/(2)` (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