Question

in the figure below, m∠1 = 84° and m∠bad = 141°. find m∠2. m∠2 = ☐°

Explanation:

Step1: Identify angle relationship

Angles ∠1 and ∠2 are adjacent and form ∠BAD, so \( m\angle BAD = m\angle 1 + m\angle 2 \).

Step2: Solve for \( m\angle 2 \)

Rearrange the formula: \( m\angle 2 = m\angle BAD - m\angle 1 \).
Substitute values: \( m\angle 2 = 141^\circ - 84^\circ \).
Calculate: \( 141 - 84 = 57 \).

Answer:

\( 57 \)