Mathematics: What is the measure of arc GH??

I believe it s 104. You would set it up as a fraction so: 50/13 and 400/x. Then you would cross multiply so 13x400 is 5,200. So this divided by 50 = 104. Hope I helped!...

What is the measure of arc GH?? - id5492006, michaelgold1

Ответ:

rsanchez1226

21.01.2022

Mathematics

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,

The measure of an inscribed angle is equal to the half of the measure of the intercepted arc.

$$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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