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m∠3 = 82°, find m∠4. m∠4 = □°

Question

m∠3 = 82°, find m∠4.
m∠4 = □°

Explanation:

Step1: Identify angle relationship

∠3 and ∠4 are adjacent and form a linear pair, so their measures sum to \(180^\circ\).

Step2: Calculate \(m\angle4\)

Using \(m\angle3 + m\angle4 = 180^\circ\), substitute \(m\angle3 = 82^\circ\):
\(m\angle4 = 180^\circ - 82^\circ = 98^\circ\).

Answer:

\(98\)