Maths Question!!

Question

Answer 1

Linear pairs are when two adjacent angles forming a straight line, the lines are supplementary meaning that the m∠3x-12 + ∠y = 180

Because the lines are parallel, m∠2x+16 and m∠3x-12 are equal. This means you can set them equal to each other to find x.

2x + 16 = 3x - 12

-2x +12 -2x +12

28 = x

if we plug 28 into the equation, m∠3x-12 + ∠y = 180, we get

m∠3(28)-12 + ∠y = 180 → 72 + m∠y =180

72 + m∠y =180

-72 -72

m∠y = 108