Question

jklm is a parallelogram. what is the measure of \\( \angle klj \\)? enter your answer in the box.

Explanation:

Step1: Use the property of parallelogram

In parallelogram \(JKLM\), \(JK\parallel ML\). So, \(\angle K+\angle MLK = 180^{\circ}\) (consecutive - interior angles). Given \(\angle K = 130^{\circ}\), then \(\angle MLK=180^{\circ}-\angle K = 180 - 130=50^{\circ}\).

Step2: Calculate \(\angle KLJ\)

We know that \(\angle MLK=\angle KLJ+\angle MLJ\). Given \(\angle MLJ = 25^{\circ}\). Then \(\angle KLJ=\angle MLK-\angle MLJ\). Substitute \(\angle MLK = 50^{\circ}\) and \(\angle MLJ=25^{\circ}\) into the formula. So, \(\angle KLJ=50 - 25=25^{\circ}\).

Answer:

\(25\)