Question

What is the measure of Zx?

Angles are not necessarily drawn to scale.
B
156
2
.
А
-C
o
2
PLZ HELP

Answer 1

`\boxed{\sf x=24\°}`

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\°`

__________________________________

Answer 2

`\huge\boxed{\sf <x = 24\°}`

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