Question

The measure of an angle exceeds 6 times its supplement by 5. find the measure of the angle

Answer 1

Supplementary angles must add to 180 degrees. Let x and y be the measure of the two angles.

y= 6x+5
x+y=180

Substitute y
x+6x+5=180
7x+5=180
7x=175
x=25

Plug the value of x in
25+y=180
y=155

Final answer: 155 degrees