Question

Is 88∘ more than the smaller angle. Find the measure of the larger angle.

Answer 1

Let

x -----> large angle

y ----> smaller angle

so

Remember that

If two angles are supplementary, then their sum is equal to 180 degrees

so

x+y=180

y=180-x ------> equation A

and

x=y+88

y=x-88 -----> equation B

equate both equations

180-x=x-88

x+x=180+88

2x=268

x=134 degrees

the answer is 134 degrees