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24 votes
24 votes
HELP ASAP

In the diagram, m ZAFB = 78°

Which angle is supplementary to ZAFB and what is its measure?

HELP ASAP In the diagram, m ZAFB = 78° Which angle is supplementary to ZAFB and what-example-1
User JRG
by
2.7k points

2 Answers

9 votes
9 votes

Answer:

The angle supplementary to ∠AFB is ∠EFA.

The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.

Supplementary angles combine to form a straight line.

In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).

And to find the value of m∠EFA you would need to arrange an equation.

Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.

We will consider the value of m∠EFA to be 'x' in our equation, so;

x + 78 = 180°

Solve for x:-

-78 -78

x = 102°, therefore m∠EFA = 102°.

User Exterminator
by
3.0k points
17 votes
17 votes

Answer:

Angle AFE = 102(degree symbol)

Explanation:

supplementary means two angles that add up to 180

hope this helps! :)

User Seiji
by
3.0k points
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