Question

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m∠3 = 82°. find m∠4.
m∠4 = \square°

Explanation:

Step1: Identify angle relationship

∠3 and ∠4 are adjacent angles forming a linear pair, so they are supplementary (sum to \(180^\circ\)).

Step2: Calculate \(m\angle4\)

Using the supplementary angle formula: \(m\angle4 = 180^\circ - m\angle3\).
Substitute \(m\angle3 = 82^\circ\): \(m\angle4 = 180^\circ - 82^\circ = 98^\circ\).

Answer:

\(98\)