Question

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. Write and solve an equation to determine the measure of angle x.

Answer 1

Vertical angles are congruent. 

So, we know that the line with the 60, 70, and y is supplementary since it is on a straight line. (this is given information)

So, 60+70+y= 180

130+y=180

Subtract 130 on both sides. 

y=50 

Vertical angles have the same measure, so <X= 50 degrees.

I hope this helps!
~kaiker

Answer 2

x = y......vertical angles are equal

60 + 70 + y = 180.....sub in x for y
60 + 70 + x = 180
130 + x = 180
x = 180 - 130
x = 50 <===