Question

What is X... What is Y....

Answer 1

Answer:

x = 110

y = 40

Step-by-step explanation:

m∡5 = 30° because it forms a linear pair with ∡6, which is 150°

x + y = 150  (angles 4 and 6 are alternate-interior and are congruent)

angles 3 and 6 are same-side interior and are supplementary

therefore:  x -2y = 180-150

if x + y = 150 we can say that x = 150 - y

we can plug '150-y' for 'x' in x - 2y = 30

150-y - 2y = 30

-3y = -120

y = 40

x = 110