Respuesta :

Angles 7 and 8 are supplementary.
Their measures add up to 180 deg.

m<7 + m<8 = 180

m<7 + 124 = 180

m<7 = 180 - 124

m<7 = 56
The only information you need to know to solve for angle 7 is 

1. Supplementary angles add up to 180 degrees. 
2. Angle 8 is 124 degrees. 

7 and 8 are supplementary angles, which means they add up to 180 (respectively, a full turn equals 360 degrees). You can use a simple subtraction problem to solve for angle 7. 

180-124=m∡7
m∡7= 56. 

Angle 7 is 56 degrees. 

Hope this helps!