Question

The lines intersect at point C. What is the value of x?

80

159

100

21

Answer 1

ANSWER


`x = 21 \degree`


EXPLANATION

The two given angles are

`(4x - 4) \degree`

and


`(3x + 17) \degree`

These two angles are vertically opposite to each other.

Recall that vertically opposite angles are equal.


We therefore write the equation below and use it to find x.

This implies that,



`(4x - 4) \degree = (3x + 17) \degree`



We group like terms to get,


`4x - 3x = 17 + 4`


This implies that

`x = 21 \degree`

Therefore the correct answer is D.

Answer 2

The correct answer option is 21.

Explanation:

We know that the given lines PW and AD intersect at the point C.

Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:

(4x - 4)° = (3x + 17)°

Solving for x to get:

4x - 4 = 3x + 17

4x - 3x = 4 + 17

x = 21

Therefore, the value of x is equal to 21.