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astraxan [27]
3 years ago
8

What is the measure of angle AFE? 79 81 91 99

Mathematics
2 answers:
Margarita [4]3 years ago
4 0

Answer:

AFE = 99°

Step-by-step explanation:

Correct on E2020

zaharov [31]3 years ago
4 0

Answer:  99^{\circ}

Step-by-step explanation:

In the given picture , we have a hexagon having all its exterior angles.

We know that the sum of all exterior angles is 360^{\circ}.

Let x be measure of \angle{AFE}

Then , the exterior angle to  \angle{AFE}=180^{\circ}-x

Then According to the given figure , we have

62^{\circ}+44^{\circ}+70^{\circ}+60^{\circ}+43^{\circ}+180^{\circ}-x=360^{\circ}\\\\\Rightarrow\ 459^{\circ}-x=360^{\circ}\\\\\Rightarrow\ x=459^{\circ}-360^{\circ}\\\\\Rightarrow\ x=99^{\circ}

Hence, the measure of \angle{AFE}=99^{\circ}

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