Question

Find the value of x
A.) 46
B.)31
C.)52
D.)107

Answer 1

x = 52

Explanation:

These angles are vertical angles meaning they are equal to each other.

4x - 101 = 2x + 3

2x - 101 = 3

2x = 104

x = 52

Answer 2

C) 52

Explanation:

Note that these angles are vertical angles, meaning that their measurements will be the same. Set the two angles equal to each other:

4x - 101 = 2x + 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 101 and subtract 2x from both sides:

4x (-2x) - 101 (+101) = 2x (-2x) + 3 (+101)

4x - 2x = 3 + 101

2x = 104

Divide 2 from both sides of the equation:

(2x)/2 = (104)/2

x = 104/2

x = 52

C) 52 is your answer.

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