Question

In the figure below, lines m and n are parallel: (picture below)

In the diagram shown, ∠7 measures 92 degrees. What is the measure of ∠8?

8 degrees
88 degrees
92 degrees
180 degrees

Answer 1

The measure of ∠8 is 88 degrees .

Explanation:

Given :
`\angle 7 = 92^(\circ)`

To Find : What is the measure of ∠8 ?

Solution:

Linear pair : A linear pair is a pair of adjacent, supplementary angles.

`\angle 7 + \angle 8 = 180^(\circ)`

`92^(\circ) + \angle 8 = 180^(\circ)`

`\angle 8 = 180^(\circ)-92^(\circ)`

`\angle 8 = 88^(\circ)`

Hence the measure of ∠8 is 88 degrees .

Answer 2

HI there!
The sum of angles 7 and 8 is 180, so to find angle 8 you would subtract angle 7 from 180. So:
180 - 92 = 88
The answer is B, 88 degrees.
Hope this helps!!