Question

Find the value of the variable and the measure of each labeled angle.

Answer 1

The vertical angles theorum states that any angles that are opposite one another like the one in this picture are congrurent and equal.

Therefore x+17=3x-23

All we need to do now is solve for x

x+17=3x-23

17=2x-23

40=2x

20=x

x=20

Therefore...

X=20

x+17=37

and

3x-23=37

Explanation: