9514 1404 393
Answer:
- (c) 232°
- (a) 142°
- (b) 34°
Step-by-step explanation:
1. Arc DFG and arc DHG complete the circle. The measure of arc DHG is 90° +38° = 128°, so the measure of arc DFG is ...
360° -128° = 232° = mDFG
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2. Arc GHE is 180°. Arc HE is 38° less than that value, so is ...
mHE = 180° -38°
mHE = 142°
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3. The angle at H is half the difference of the intercepted arcs:
H = (100° -32°)/2 = 68°/2
H = 34°
