Question

1. (mangle jqr = 112), (mangle pqr = 165). write an equation then find (mangle pqj). equation: (mangle 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 given values

Substitute $m\angle JQR = 112$ and $m\angle PQR = 165$ into the equation: $m\angle PQJ=165 - 112$.

Step4: Calculate the result

$m\angle PQJ = 53$.

Answer:

Equation: $m\angle PQJ=m\angle PQR - m\angle JQR$
$m\angle PQJ = 53$