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zheka24 [161]
3 years ago
8

In the following figure, what is the measure of the angle c, in degrees, to two decimal places?

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Step-by-step explanation:

tanX=8/13

x=tan-¹ 8/13

x=0.55

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the measures of the angles are:

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  • m∠GFH = 82°
<h3>How to find the measures of the angles?</h3>

Two angles are a linear pair if their measures add up to 180°.

Then we will have that:

∠EFG + ∠GFH = 180

Here we know that:

m∠EFG=3n+23

m∠GFH=2n+32

Replacing that we get:

3n + 23 + 2n + 32 = 180

5n + 55 = 180

5n = 180 - 55 = 125

n = 125/5 = 25

Then the measures of the angles are:

m∠EFG=3n+23 = 3*25 +23 = 98°

m∠GFH=2n+32 = 2*25 + 32 = 82°

If you want to learn more about angles:

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iragen [17]

Answer:

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