Question

if $\angle abc$ and $\angle def$ are a linear pair, and $m\angle abc$ is equal to $95^{\circ}$, then what is $m\angle def$?
$m\angle def = ?^{\circ}$

Explanation:

Step1: Recall linear pair property

A linear pair of angles are supplementary, meaning their sum is \(180^\circ\). So, \(m\angle ABC + m\angle DEF = 180^\circ\).

Step2: Substitute known value

We know \(m\angle ABC = 95^\circ\), substitute into the equation: \(95^\circ + m\angle DEF = 180^\circ\).

Step3: Solve for \(m\angle DEF\)

Subtract \(95^\circ\) from both sides: \(m\angle DEF = 180^\circ - 95^\circ = 85^\circ\).

Answer:

\(85\)