Question

Find the values of x and y. State which theorem(s) you used.

Answer 1

x=45° and y=49° (180°in a straight line, co-interior angles add up to 180°)

Explanation:

There are 180° in a straight line so 180°-45=135, 135=3x

135 divided by 3= 45, so x=45°, then because co-interior angles always add up to 180°, 45+ the missing angle=180, 180-45=135, so the angle next to angle (y-4) is 135°.

Then, solving the equation u have 135+(y-4)=180 because there are 180° in a straight line.

The equation ends up as y=49°

Answer 2

3x+45=180

3x=180-45

x=135/3

x=45

(y-4)=45

y=45+4

y=49