Question

in parallelogram jklm if m∠jkl = 160° find m∠klm.

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\).
\(\angle JKL\) and \(\angle KLM\) are adjacent angles. So, \(m\angle JKL + m\angle KLM=180^{\circ}\)

Step2: Substitute the given value

Given \(m\angle JKL = 160^{\circ}\). Let \(m\angle KLM=x^{\circ}\). Then \(160 + x=180\)

Step3: Solve for \(x\)

Subtract \(160\) from both sides of the equation: \(x = 180-160\)

Answer:

\(20\)