Question

Find the value of x and y

Answer 1

x = 25

y = 60

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°.

`80^(\circ)+4x^(\circ)=180^(\circ)\\ \\4x=180-80\\ \\4x=100\\ \\x=25`

Angles with measures 4x° and (2y - 20)° are vertical angles, so they are congruent:

`4x^(\circ )=(2y-20)^(\circ)\\ \\4\cdot 25=2y-20\\ \\2y-20=100\\ \\2y=100+20\\ \\2y=120\\ \\y=60`