Answer:
The measure of angle x is 102 degrees and the measure of angle y is 78 degrees
Step-by-step explanation:
we know that
[tex]x+y=180\°[/tex] -----> equation A (supplementary angles)
[tex]x=y+24\°[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]y+24\°+y=180\°[/tex]
Solve for y
[tex]2y+24\°=180\°[/tex]
[tex]2y=180\°-24\°[/tex]
[tex]2y=156\°[/tex]
[tex]y=78\°[/tex]
Find the measure of angle x
[tex]x=102\°=[/tex]
therefore
The measure of angle x is 102 degrees and the measure of angle y is 78 degrees
