Question

What is the measure of angle 7?

Answer 1

95 degrees

Explanation:

Because angles 1 and 4 are vertical angles, they must be congruent. Therefore:

`3x+10=4x-15 \\\\10=x-15 \\\\x=25`

Since angle 7 is supplementary to either of these angles, you just need to find the angle measure of either of them and subtract it from 180.

`\angle 1= 3x+10=3(25)+10=75+10=85`

Subtracting this from 180, you are left with 95 degrees. Hope this helps!