Question

using vertical angles to find unknown values
what is ( mangle srw )?
18
54
126
108

Explanation:

Step1: Set up the equation for vertical angles

Vertical angles are equal. So, \(2x + 18=3x\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(2x+18 - 2x=3x - 2x\), which gives \(x = 18\).

Step3: Find \(m\angle SRW\)

\(\angle SRW\) and \((3x)^{\circ}\) are supplementary (they form a linear - pair). The measure of \((3x)^{\circ}\) is \(3\times18 = 54^{\circ}\).
Since \(m\angle SRW+3x=180^{\circ}\), then \(m\angle SRW=180 - 54\).

Answer:

\(126\)