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If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.

If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.-example-1

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Answer:

∠ GDH = 67.5°

Explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH =
(1)/(2)(GH + EF) =
(1)/(2) (90 + 45)° = 0.5 × 135° = 67.5°

User Evgenii Bazhanov
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