163k views
2 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

1 Answer

3 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 AlexConfused
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories