Question

in the figure, ∠rqs ≅ ∠qlk. what is the value of x? 36 72 108 144

Explanation:

Step1: Use the property of same - side interior angles

Since \( \angle RQS\cong\angle QLK\), and \(SP\parallel KN\), we know that \(x+(x - 36)=180\) (same - side interior angles are supplementary).

Step2: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(108\)