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

What is the measure of angle AFE? 79 81 91 99-example-1

2 Answers

2 votes

Answer:

AFE = 99°

Explanation:

Correct on E2020

User Cmdkennedy
by
4.6k points
4 votes

Answer:
99^(\circ)

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)

User Mr Grok
by
5.3k points
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