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22. if ∠k and ∠l are supplementary angles and m∠k = 56°, find m∠l.

Question

  1. if ∠k and ∠l are supplementary angles and m∠k = 56°, find m∠l.

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\), so \(m\angle K + m\angle L = 180^\circ\).

Step2: Substitute \(m\angle K = 56^\circ\)

\(56^\circ + m\angle L = 180^\circ\).

Step3: Solve for \(m\angle L\)

\(m\angle L = 180^\circ - 56^\circ = 124^\circ\).

Answer:

\(124^\circ\)