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drek231 [11]
3 years ago
10

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

Mathematics
2 answers:
Lisa [10]3 years ago
6 0
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.

Agata [3.3K]3 years ago
5 0

<u>Answer:</u>

The correct answer option is 21.

<u>Step-by-step explanation:</u>

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.

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