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What is mGI? I don't know what to do

What is mGI? I don't know what to do-example-1

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Answer:

101°

Explanation:

We are asked to find the measure of arc GI.

The measure of a circles' diameter is 360°, meaning that all of the arcs combined will equal 360°.

Add the angles of each arc:


x + 21 + 2x - 24 + x + 43 = 360


4x+40=360

Simplify:


4x=320


x=80

Substitute 80 into the value of x for Arc GI:


80+21=101

The measure of Arc GI is 101°.

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