Mathematics: What is the measure of angle afe? 79 81 91 99

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

Ответ:

joselynrobles

09.03.2022

Mathematics

$99^{\circ}$

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

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