Question

The difference between twice an angle's measure and it's supplement is 27. find the measure of the angle

Answer 1

 

x and y  are supplementary angles

x - y = 27

x + y = 180

--------------------- We add the equations:

2x   / = 207

2x = 207

x = 207/2

x = 103.5° = 103° : 30 min

y = 180° - 103.5° = 76.5° = 76° : 30min