reagannalberss reagannalberss

02-08-2020
Mathematics

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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 mGDH class=

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jimrgrant1 jimrgrant1

02-08-2020

Answer:

∠ GDH = 67.5°

Step-by-step 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 = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°

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