Answer:
[tex] x = 20 [/tex]
Step-by-step explanation:
The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:
(4x)° = (x + 60)°
Use the equation to solve for the value of x
[tex] 4x = x + 60 [/tex]
Subtract x from both sides
[tex] 4x - x = x + 60 - x [/tex]
[tex] 3x = 60 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{60}{3} [/tex]
[tex] x = 20 [/tex]
