Question

∠1 is a supplement of ∠2 , and ( mangle 2 = 27^circ ) . find ( mangle 1 ) .
( mangle 1 = square^circ )

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^\circ\). So, if \(\angle1\) is a supplement of \(\angle2\), then \(m\angle1 + m\angle2 = 180^\circ\).

Step2: Substitute the given value of \(m\angle2\)

We know that \(m\angle2 = 27^\circ\). Substituting this into the equation \(m\angle1 + m\angle2 = 180^\circ\), we get \(m\angle1 + 27^\circ = 180^\circ\).

Step3: Solve for \(m\angle1\)

To find \(m\angle1\), we subtract \(27^\circ\) from both sides of the equation: \(m\angle1 = 180^\circ - 27^\circ\). Calculating the right - hand side, \(180 - 27 = 153\). So, \(m\angle1 = 153^\circ\).

Answer:

\(153\)