Answer:
m<7 = 95 degrees
Step-by-step explanation:
Angle 1 = 3x + 10
Angle 4 = 4x-15
Because of the verticle angles theorum, Angle 1 and 4 are congruent.
So:
3x+10 = 4x-15
+15 +15
3x+25 = 4x
-3x -3x
25 = x
Angle 1 = 3x + 10
But now we know what x is so now its (3 times 25) + 10 which is 85
Angle 1 and 3 are a linear pair so they are supplementary (add up to 180)
180-85=95
So, Angle 3 is 95 degrees
Because of the corresponding Angles postulate, 7 and 3 are congruent
So m<7 = 95 degrees
