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Aleks [24]
3 years ago
10

What is the measure of arc GH??

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Option C:

The measure of arc GH is 45°.

Solution:

Given data:

m∠GFH = 22.5°

To find the measure of arc GH:

By inscribed angle theorem,

<em>The measure of an inscribed angle is equal to the half of the measure of the intercepted arc.</em>

$m\angle GFH = \frac{1}{2}\times m \ {(arc \  GH)}

$ 22.5^\circ= \frac{1}{2}\times m \ {(arc \  GH)}

Multiply by 2 on both sides, we get

$ 2\times 22.5^\circ=  2\times \frac{1}{2}\times m \ {(arc \  GH)}

$ 45^\circ=   m \ {(arc \  GH)}

Switch the sides.

m(arc GH) = 45°

The measure of arc GH is 45°.

Option C is the correct answer.

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