Question

How do you solve this

Answer 1

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent hence 8x + 36 = 5x + 60

( Notice that we just created an equation that we can use to solve for x )

We now solve for x algebraically

8x + 36 = 5x + 60

Step 1: Subtract 5x from both sides

8x - 5x + 36 = 5x - 5x + 60

Outcome: 3x + 36 = 60

Step 2: Subtract 36 from both sides

3x + 36 - 36 = 60 - 36

Outcome: 3x = 24

Step 3: Divide both sides by 3

3x/3 = 24/3

Outcome: x = 8