Question

Solve for xxx in the diagram below.

Answer 1

`\underline{\underline{\boxed{\sf x=25^o}}}`

Explanation:

The angles are vertical angles. Vertical → congruent.

Since they are congruent, we can set their measures equal to each other.

`\sf 150^o=(4x+50)^o`

Solve for x:-

`\sf 150^o=4x+50^o`

`\sf 100=4x`

`\sf 25=x`

`\sf x=25^o` ← Answer