Question

I need help on this question

Answer 1

Remark

The easiest one to start with is the solution to y. The angle that is supplementary to 6y is a 90o angle. You could do this 2 ways.

Supplementary angles add up to 180o.

So 6y + 90 = 180 Subtract 90 from both sides.

6y + 90 - 90 = 180 - 90

6y = 90 Divide by 6

6y = 90 / 6

y = 15

Solve for x

Interior angles created by a transversal cutting 2 parallel lines also add to 180o

That means that 100 + x = 180 Subtract 100 from both sides.

100 + x - 100 = 180 - 100

x = 80 degrees.