Question

find ( mangle krl ).
( mangle krl=) ?

Explanation:

Step1: Use vertical angles and right angle

Vertical angles are equal. The angle adjacent to \(56^{\circ}\) and \(\angle KRL\) form a right - angle (\(90^{\circ}\)).

Step2: Calculate \(m\angle KRL\)

We know that \(m\angle KRL+56^{\circ}=90^{\circ}\) (because \(KP\perp HM\), so the angle between \(KP\) and \(HM\) is \(90^{\circ}\)). Then \(m\angle KRL = 90^{\circ}-56^{\circ}\)

Answer:

\(34\)