Answer:
95°
Step-by-step explanation:
Vertical angles are congruent, so angles 1 and 4 will be congruent
Set up the angle measures equal to each other and solve for x:
3x + 10 = 4x - 15
10 = x - 15
25 = x
Angle 7 will be supplementary to angle 4, so we can set up another equation:
First, find the measure of angle 4 by plugging in 25 as x:
4x - 15
4(25) - 15
= 85
Then, find angle 7 by subtracting the measure of angle 4 from 180:
180 - 85
= 95
So, the measure of angle 7 is 95°
