Question

What is an angle that is supplementary to EFA? (30 POINTS)

Answer 1

Answer: AFB

Step-by-step explanation: a supplmentary angle is a angle that creates a complete 180 degree angle. one way to determine this is just by looking for a straight line across the angles, being created by 2 and only 2 seperate angles that share a line. the other way to determine this is by finding the angle of each and adding them together to see if the sum is 180. your angle is 90*, therefore AFB is also 90* in order to complete the 180.

Answer 2

`\large\boxed{\tt \angle EFC, \ \angle BFC, \ and \ \angle BFA.}`

Explanation:

`\textsf{We are asked for an angle that is \underline{supplementary} to} \ \tt \angle EFA.`

`\tt \angle EFA \ \textsf{is a right angle, where the other supplementary angle \underline{has} to be a right angle.}`

`\large\underline{\textsf{What are Supplementary Angles?}}`

`\textsf{Supplementary Angles are 2 angles that form a} \ \tt 180^(\circ) \ \textsf{straight line.}`

`\textsf{Note that Supplementary Angles \underline{do not} have to be Adjacent. (Near/Touching)}`

`\large\underline{\textsf{Identifying Supplementary Angles;}}`

`\textsf{We know that a full angle is} \ \tt 360^(\circ). \textsf{This means that there are \underline{4} right angles.}`

`\textsf{Hence, we should have 3 other angles that are supplementary to} \ \tt \angle EFA.`

`\underline{\textsf{Which angles?}}`

`\textsf{As you can likely tell, we have 2 lines that are Perpendicular. (4 Right Angles)}`

`\textsf{The Supplementary Angles are the angles above, to the opposite side of, and to the}`

`\textsf{right of} \ \tt \angle EFA.`

`\boxed{\underline{\textsf{These Angles Are;}}}`

`\large\boxed{\tt \angle EFC, \ \angle BFC, \ and \ \angle BFA.}`

`*\textsf{You'll only need one of these angles, but these are all of the supplementary angles.}`