Question

Consider the figure below. Find the value of x.

Answer 1

Answer:

x = 5

Step-by-step explanation:

When two straight lines intersect, four angles are formed.  The angles that are directly opposite of each other are equal.  Since the angles are equal set the values equal to each other and solve for x.

5x - 5 = 2x + 10

5x - 5 - 2x = 2x + 10 - 2x

3x - 5 = 10

3x - 5 + 5 = 10 + 5

3x = 15

3x/3 = 15/3

x = 5