Question

in the figure below, ( mangle pqr = 152^circ ) and ( mangle 1 = 57^circ ). find ( mangle 2 ).

Explanation:

Step1: Use angle addition postulate

According to the angle addition postulate, \(m\angle PQR=m\angle1 + m\angle2\).

Step2: Solve for \(m\angle2\)

Rearrange the formula from Step 1: \(m\angle2=m\angle PQR - m\angle1\).
Substitute \(m\angle PQR = 152^{\circ}\) and \(m\angle1 = 57^{\circ}\) into the formula: \(m\angle2=152 - 57\).
Calculate \(152-57 = 95\).

Answer:

\(95\)