Question

Can you help me with number 1-3 please thank you!!!!!!

Answer 1

9514 1404 393

Answer:

1. (c) 232°
2. (a) 142°
3. (b) 34°

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°