Question

What is the measure of Zx?

Answer 1

Answer:

$\boxed{\sf x=24\°}$

Step-by-step explanation:

From the given diagram, we can see that ∠BOC and ∠AOB are supplementary angles.

Therefore, $\sf m=\angle BOC+m\angle AOB=180\°$

$\sf m=\angle BOC+m\angle AOB=180\°$

$\sf x+156=180\°$

Subtract 156 from both sides:

$\sf x+156-156=180-156$

$\sf x=24\°$

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Answer 2

Answer:

$\huge\boxed{\sf$

Step-by-step explanation:

∠x and 156° are supplementary i.e. angles on a straight line that add up to 180 degrees.

So,

∠x + 156 = 180

Subtract 156 to both sides

∠x = 180 - 156

∠x = 24°

$\rule[225]{225}{2}$

Hope this helped!

~AH1807