Question

Two supplementary angles differ by 60 find the measure of longer angles

Answer 1

Step-by-step explanation:

$x + x + 60 = 180 \\ 2x = 180 - 60 \\ x = 120 \div 2 = 60$

larger angle= 60 + 60= 120

smaller angle = 60

Answer 2

Step-by-step explanation:

let the first angle be X

since angles are supplementary

therefore second angle will be 180-X

Now, according to the question

X-(180-X)=60

X-180+X=60

2X-180=60

2X=60+180

2X=240

X=240÷2

X=120°

and supplementary angle=180-120

=60°

the longer angle is of the measure 120°