Question

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

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^\circ\). So, if \(\angle 3\) is a supplement of \(\angle 2\), then \(m\angle 2 + m\angle 3=180^\circ\).

Step2: Substitute the given value of \(m\angle 2\)

We know that \(m\angle 2 = 147^\circ\). Substitute this into the equation \(147^\circ+m\angle 3 = 180^\circ\).
To find \(m\angle 3\), we solve for it by subtracting \(147^\circ\) from both sides of the equation: \(m\angle 3=180^\circ - 147^\circ\).

Step3: Calculate the result

\(180 - 147 = 33\), so \(m\angle 3 = 33^\circ\).

Answer:

\(33\)