Question

in the figure below, m∠1 = 106°. find m∠2.

figure: a straight line with a ray forming ∠1 (106°) and ∠2, with ∠1 and ∠2 adjacent and forming a linear pair

m∠2 = ☐°

Explanation:

Step1: Identify angle relationship

∠1 and ∠2 are supplementary (form a straight line), so \( m\angle1 + m\angle2 = 180^\circ \).

Step2: Solve for \( m\angle2 \)

Substitute \( m\angle1 = 106^\circ \) into the equation: \( m\angle2 = 180^\circ - 106^\circ \).
Calculate: \( 180 - 106 = 74 \).

Answer:

\( 74 \)