Respuesta :

D. Because angle 111 is equal to angle 87 + x (vertical angles are congruent). With that, you can make the equation: 87 + x = 111.

Answer:

[tex]111^{\circ} =87^{\circ}+x^{\circ}[/tex]

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

[tex]111^{\circ} =87^{\circ}+x^{\circ}[/tex]

So, an equation can you use to solve for x is [tex]111^{\circ} =87^{\circ}+x^{\circ}[/tex]

So, Option B is correct.

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