316,399 views
40 votes
40 votes
Calculate the value of x in the diagram below showing all working calculations

Calculate the value of x in the diagram below showing all working calculations-example-1
User Snjezana
by
2.3k points

1 Answer

19 votes
19 votes

Answer: x = 30

Explanation:

According to the Congruent Vertical Angle theoreum, opposite vertical angles must be equal.

Therefore, we can equal both angles to each other.

4x - 40 = x + 50

Now, solve for x. Move x over to the other side.

4x - 40 - x = 50

Subtract the x's.

3x - 40 = 50

Now, add 40 to the other side to isolate the 3x.

3x = 90

Divide by 3.

x = 30

Hope this helps! :)

User Sudoremo
by
2.9k points