Question

Two angles are supplementary. The measure of the larger angle is 4 more than 3 times the measure of the smaller angle. Find the measures of both angles

Answer 1

The measures of both angles are 136 degrees and 44 degrees

Explanation:

we know that

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

Let

x ----> the measure of the larger angle

y ---> the measure of the smaller angle

we have that

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

`x=3y+4` ----> equation B

Solve the system by substitution

substitute equation B in equation A

`3y+4+y=180`

solve for y

`4y+4=180\\4y=176\\y=44^o`

Find the value of x

`x=3(44)+4=136^o`