Question

in the figure below, m∠2 = 49°. find m∠1. m∠1 = ☐°

Explanation:

Step1: Identify Angle Relationship

The two angles ∠1 and ∠2 form a right angle (90°), so \( m\angle1 + m\angle2 = 90^\circ \).

Step2: Substitute and Solve

Given \( m\angle2 = 49^\circ \), substitute into the equation: \( m\angle1 + 49^\circ = 90^\circ \). Subtract 49° from both sides: \( m\angle1 = 90^\circ - 49^\circ = 41^\circ \).

Answer:

41