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Thadeuszlay · Answer 1 · 2023-05-10T12:06:13+0000

The lines AD and BC cross at a point where we have two pairs of vertically opposite angles.

The angles labelled (2x +50) and 100 are vertically opposite angles.

Vertically opposite angles are equal. Therefore;

$\begin{gathered} 2x+50=100 \\ \text{Subtract 50 from both sides} \\ 2x+50-50=100-50 \\ 2x=50 \\ \text{Divide both sides by 2} \\ (2x)/(2)=(50)/(2) \\ x=25 \end{gathered}$

ANSWER:

The value of x is 25. The correct answer is option A

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