Question

in the figure below, m∠1 = 34°. find m∠2. 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 \( m\angle1 = 34^\circ \) into the equation: \( 34^\circ + m\angle2 = 180^\circ \).
Subtract \( 34^\circ \) from both sides: \( m\angle2 = 180^\circ - 34^\circ = 146^\circ \).

Answer:

\( 146 \)