27.2k views
0 votes
In the diagram m < AFB = 78, Which angle is supplementary to

In the diagram m < AFB = 78, Which angle is supplementary to-example-1
User Metafaniel
by
8.2k points

2 Answers

3 votes

The angle supplementary to
$\angle A F B$ is
$\angle A E D$.

Supplementary angles add up to
$180^(\circ)$, so
$\angle A E D+\angle A F B=180^(\circ)$.

Since
$\angle A F B=78^(\circ)$, we have
$\angle A E D+78^(\circ)=180^(\circ)$.

Solving for
$\angle A E D$, we get
$\angle A E D=180^(\circ)-78^(\circ)=102^(\circ)&amp;.

Therefore,
$\angle A E D$ is supplementary to
$\angle A F B$.

User Rajat Bhatt
by
7.8k points
4 votes

Answer:

BFD

Explanation:

Supplementary angles add to 180, or will form a straight line.

< AFB and angle BFD will form a straight line so they are supplementary.