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what is ( mangle srw )? 18 54 126 108

Question

what is ( mangle srw )?
18
54
126
108

Explanation:

Step1: Find \(x\)

Vertical angles are equal. So \(2x + 18=3x\).
Subtract \(2x\) from both sides: \(18 = 3x-2x\), so \(x = 18\).

Step2: Calculate \(m\angle SRW\)

\(m\angle SRW=(2x + 18)+3x\).
Substitute \(x = 18\): \(m\angle SRW=(2\times18 + 18)+3\times18\).
First, \(2\times18+18=36 + 18=54\), \(3\times18 = 54\).
Then \(m\angle SRW=54+72=126\).

Answer:

126