Answer:
x = 25
y = 60
Step-by-step explanation:
Angles with meauseres 80° and 4x° are the same-side interior angles when two parallel lines are cut by transversal. This means the sum of the measures of these angles is equal to 180°.
[tex]80^{\circ}+4x^{\circ}=180^{\circ}\\ \\4x=180-80\\ \\4x=100\\ \\x=25[/tex]
Angles with measures 4x° and (2y - 20)° are vertical angles, so they are congruent:
[tex]4x^{\circ }=(2y-20)^{\circ}\\ \\4\cdot 25=2y-20\\ \\2y-20=100\\ \\2y=100+20\\ \\2y=120\\ \\y=60[/tex]
