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first identify the types of angles in the figure. the exterior angle is…

Question

first identify the types of angles in the figure. the exterior angle is ∠4. the non - adjacent interior angles are ∠1 and ∠2. what is the relationship between angles 3 and 4? m∠3 + m∠4 = \boxed{\space}°

Explanation:

Step1: Identify angle relationship

∠3 and ∠4 are adjacent and form a linear pair, so they are supplementary.

Step2: Recall supplementary angle sum

Supplementary angles sum to \( 180^\circ \), so \( m\angle3 + m\angle4 = 180^\circ \).

Answer:

\( 180 \)