Which equation can you use to solve for x? a. 180-x=111b. x+87=180c. x+111=180d. x+87=111

Step-by-step explanation:

Refer the attached figure

Vertical angles : Each of the pairs of opposite angles made by two intersecting lines is called vertical angles.

AB and CD are two intersecting lines at point O.

So, By definition ∠AOC and ∠DOB are the pair of vertical angles .

So,  ∠AOC = ∠DOB (vertically opposite angles are equal)  -1

We are given  ∠AOC  = 111° and  ∠DOB  = 87°+x°

Substitute the values in 1

So, an equation can you use to solve for x is

So, Option B is correct.

-6 is the correct option from the above given options