Question

If mZA= (5x-4)° and mZB = (8x - 28)°, what is the value of x?

08
09.4
O 16.3
36

Answer 1

Explanation:

Angles ZA and ZB are supplementary because they form a straight line. Therefore, we can write:

mZA + mZB = 180°

Substituting the given values, we get:

(5x - 4)° + (8x - 28)° = 180°

Combining like terms, we get:

13x - 32 = 180

Adding 32 to both sides, we get:

13x = 212

Dividing both sides by 13, we get:

x = 16.3

Therefore, the value of x is 16.3.

Answer 2

If mZA = (5x - 4)° and mZB = (8x - 28)°, we can set them equal to each other since they share a common angle:

5x - 4 = 8x - 28

Simplifying and solving for x:

3x = 24

x = 8

Therefore, the value of x is 8.