Question

find ( mangle krl ).
( mangle krl=square^{circ} )

Explanation:

Step1: Identify the relationship between angles

Since \( \angle KRM = 90^{\circ}\) (right - angle) and \( \angle QRH = 56^{\circ}\), and \( \angle QRH\) and \( \angle LRM\) are vertical angles. So \( \angle LRM=\angle QRH = 56^{\circ}\).

Step2: Calculate \(m\angle KRL\)

We know that \(m\angle KRL+m\angle LRM = 90^{\circ}\) (complementary angles). Let \(x = m\angle KRL\), then \(x+56^{\circ}=90^{\circ}\). Solving for \(x\), we get \(x=90^{\circ}- 56^{\circ}\).

Answer:

\(34\)