math 1012 college

Question

Two angles are supplementary. The larger angle is  more than the smaller. Find the measures of the both angles.The smaller angle is ° and the larger angle is 

Answer 1

x + y = 180 (the two angles are supplementary)

y = 114+ x (the larger angle IS 114 MORE THAN the smaller)

x + (114 + x) = 180 (substitution method--replace y in the 1st equation with its equivalent expression from the 2nd).

2x + 114 = 180 (combine similar terms)

2x = 66 (subtraction for equality)

x= 33 (division for equality)

y = 147 (substitute 33 for x in y = 114 + x)

Check:

33 + 147 =? 180 (yes, supplementary)

147 - 33 = 114 (so larger angle is 114 more than the smaller)