m∠1 = 55°. what is m∠2? m∠2 =

Response

Step1: Assume linear - pair relationship
If \(\angle1\) and \(\angle2\) form a linear pair (adjacent angles that are supplementary, i.e., their sum is \(180^{\circ}\)).
Let \(m\angle1 = 55^{\circ}\) and \(m\angle2=x\). Then the equation is \(m\angle1 + m\angle2=180^{\circ}\), or \(55^{\circ}+x = 180^{\circ}\).
Step2: Solve for \(m\angle2\)
Subtract \(55^{\circ}\) from both sides of the equation \(x=180^{\circ}-55^{\circ}\).
\(x = 125^{\circ}\).

Step1: Assume linear - pair relationship
If \(\angle1\) and \(\angle2\) form a linear pair (adjacent angles that are supplementary, i.e., their sum is \(180^{\circ}\)).
Let \(m\angle1 = 55^{\circ}\) and \(m\angle2=x\). Then the equation is \(m\angle1 + m\angle2=180^{\circ}\), or \(55^{\circ}+x = 180^{\circ}\).
Step2: Solve for \(m\angle2\)
Subtract \(55^{\circ}\) from both sides of the equation \(x=180^{\circ}-55^{\circ}\).
\(x = 125^{\circ}\).