Question

lines ( ell ) and ( m ) are intersected by transversal ( t ) and ( ell parallel m ).
if ( mangle 3 = 126^{circ} ), what is ( mangle 5 )?

Explanation:

Step1: Use the property of alternate - interior angles

When two parallel lines \(l\parallel m\) are cut by a transversal \(t\), \(\angle3\) and \(\angle5\) are alternate - interior angles.
For parallel lines \(l\) and \(m\) with transversal \(t\), if \(l\parallel m\), then the measure of alternate - interior angles is equal. That is \(m\angle3=m\angle5\).

Answer:

\(126\)