Question

using vertical angles to find unknown values
what is m∠srw?
(2x + 18)°
(3x)°

Explanation:

Step1: Set up equation using vertical - angles property

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

Step2: Solve for \(x\)

Subtract \(2x\) from both sides of the equation: \(18 = 3x-2x\), so \(x = 18\).

Step3: Find \(m\angle SRW\)

\(m\angle SRW=(2x + 18)+3x\). Substitute \(x = 18\) into the expression. First, \(2x+18=2\times18 + 18=36 + 18=54\) and \(3x=3\times18 = 54\). Then \(m\angle SRW=54+54 = 108\).

Answer:

108