Question

I’m the figure below, AB || CD.

What is the value of x?

A. 80
B. 40
C. 90
D. 50

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The Correct choice is ~ C

• 
  `\boxed{x = 90 \degree}`

`\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}`

In the given figure, the marked angles (x + 40° and x - 40°) forms a pair of co - interior angles ~

Hence, their sum is equal to ~ 180°

• 
  `x + 40 + x - 40 = 180`

• 
  `2x = 180`

• 
  `x = 180 / 2`

• 
  `x = 90 \degree`