Question

The figure below shows two parallel lines intersected by a third line. What is the value of x

Answer 1

..Its ...13 º .......

Answer 2

Answer:

$x = 20$

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

$4x = x + 60$

Subtract x from both sides

$4x - x = x + 60 - x$

$3x = 60$

Divide both sides by 3

$\frac{3x}{3} = \frac{60}{3}$

$x = 20$