Question

solve for ( mangle vwy ) if ( mangle vwx = 132^circ ) and ( mangle ywx = 40^circ ).

Explanation:

Step1: Identify angle relationship

We know that \( m\angle VWX = m\angle VWY + m\angle YWX \). So we can solve for \( m\angle VWY \) by subtracting \( m\angle YWX \) from \( m\angle VWX \).

Step2: Calculate \( m\angle VWY \)

Given \( m\angle VWX = 132^\circ \) and \( m\angle YWX = 40^\circ \), we use the formula \( m\angle VWY = m\angle VWX - m\angle YWX \).
Substitute the values: \( m\angle VWY = 132^\circ - 40^\circ \)
\( m\angle VWY = 92^\circ \)

Answer:

\( 92 \)