Question

An angle measures 42° more than the measure of its supplementary angle. What is the measure of each angle?
WILL MARK BRAINLIEST!!!

Answer 1

Answer:

The measure of each angle is 111 degrees and 69 degrees

Step-by-step explanation:

we know that

Two angles are supplementary, if their sum is equal to 180 degrees

Let

x ----> the measure of one angle

y ---> the measure of the supplementary angle

so

$x+y=180^o$ -----> equation A

$x=y+42^o$ ---> equation B

substitute equation B in equation A

$(y+42^o)+y=180^o$

solve for y

$2y=180^o-42^o\\2y=138^o\\y=69^o$

Find the value of x

$x=69^o+42^o=111^o$

therefore

The measure of each angle is 111 degrees and 69 degrees