Question

∠3 is a supplement of ∠2, and ( mangle 2 = 147^circ ). find ( mangle 3 ). ( mangle 3 = square^circ ).

Explanation:

Step1: Recall supplementary angles property

Supplementary angles sum to \(180^\circ\), so \(m\angle2 + m\angle3 = 180^\circ\).

Step2: Substitute \(m\angle2 = 147^\circ\)

\(147^\circ + m\angle3 = 180^\circ\), then \(m\angle3 = 180^\circ - 147^\circ\).

Step3: Calculate the result

\(180 - 147 = 33\), so \(m\angle3 = 33^\circ\).

Answer:

\(33^\circ\)