Question

Please help me understand what to do here.

Answer 1

Whena line gets crossed by a tranversal line, the angles on the diagonal are equal to one another.

This means that (2x + 1)° will be equal to 85°

so we can set up the equation 2x +1 = 85 and sove for x

2x = 84      x = 42

Now, take the fact that lines on a line must add up to 180° so we can get the equation (3y + 5) + 85 = 180 and sove for y.

3y + 90 = 180     3y = 90    y = 30

Answer: x = 42, y = 30