Question

1. m∠jqr = 112, m∠pqr = 165. write an equation then find m∠pqj. equation: m∠pqj =

Explanation:

Step1: Identify angle - relationship

We know that \(m\angle PQR=m\angle PQJ + m\angle JQR\).

Step2: Rearrange the equation to solve for \(m\angle PQJ\)

\(m\angle PQJ=m\angle PQR - m\angle JQR\).

Step3: Substitute the given values

Given \(m\angle JQR = 112\) and \(m\angle PQR=165\), then \(m\angle PQJ=165 - 112\).

Answer:

Equation: \(m\angle PQJ=m\angle PQR - m\angle JQR\)
\(m\angle PQJ = 53\)