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in the figure below, m∠1 = 85° and m∠gfj = 141°. find m∠2.

Question

in the figure below, m∠1 = 85° and m∠gfj = 141°. find m∠2.

Explanation:

Step1: Identify angle - sum relationship

We know that \(m\angle GFJ=m\angle1 + m\angle2\).

Step2: Solve for \(m\angle2\)

Rearrange the equation to \(m\angle2=m\angle GFJ - m\angle1\). Substitute \(m\angle1 = 85^{\circ}\) and \(m\angle GFJ = 141^{\circ}\) into the equation. So \(m\angle2=141 - 85\).

Answer:

\(56\)