Question

find x *
138°
x
your answer
find x *
x+13° 2x - 23°
your answer

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. In the first problem, \(x\) and \(138^{\circ}\) are vertical angles. So \(x = 138^{\circ}\).

Step2: Use the property of vertical angles for the second problem

Since \(x + 13^{\circ}\) and \(2x-23^{\circ}\) are vertical angles, we set up the equation \(x + 13=2x - 23\).
Subtract \(x\) from both sides: \(13=x - 23\).
Add \(23\) to both sides: \(x=13 + 23=36\).

Answer:

\(138\)
\(36\)