Question

m∠3 = 82°. find m∠4.
m∠4 = \square°

Explanation:

Step1: Identify angle relationship

∠3 and ∠4 are supplementary (form a linear pair), so \( m\angle3 + m\angle4 = 180^\circ \).

Step2: Solve for \( m\angle4 \)

Given \( m\angle3 = 82^\circ \), substitute into the equation: \( 82^\circ + m\angle4 = 180^\circ \).
Subtract \( 82^\circ \) from both sides: \( m\angle4 = 180^\circ - 82^\circ = 98^\circ \).

Answer:

98