Question

1. use the given information and the diagram to find the value of the variable. $overrightarrow{kj}perpoverrightarrow{kl}$, $angle jkmcongangle mkl$

Explanation:

Step1: Use the property of perpendicular lines

Since \(\overrightarrow{KJ}\perp\overrightarrow{KL}\), \(\angle JKL = 90^{\circ}\).

Step2: Use the property of congruent angles

Given \(\angle JKM\cong\angle MKL\), let \(\angle JKM=\angle MKL = z^{\circ}\). Then \(\angle JKM+\angle MKL=\angle JKL\). Substituting the values, we get \(z + z=90\).

Step3: Solve the equation

Combining like - terms, \(2z = 90\). Dividing both sides by 2, \(z=\frac{90}{2}=45\).

Answer:

B. 45