Question

PLEASE HELP!!!!!!!!!!!!!

Answer 1

C

Explanation:

Vertical angles (non-adjacent angles formed by the intersection of two straight lines) are congruent (their measures are equal).

So, 4x+10=122 (solve for x)
4x=112
x = 28

Answer 2

x = 28

Explanation:

According to vertical angle theorm,

• when two lines interested each other, then the vertical angles formed are equal.

Here 4x + 10 and 122 are the vertical angles. i.e they are equal.

• 4x + 10 = 122

Subtract 10 from both sides,

• 4x + 10 - 10 = 122 - 10
• 4x = 112

Divide both sides by 4,

• x = 28

Henceforth the value of x is 28.

option B is the required answer.