Question

use the angle addition postulate to find the measure of the unknown angle. 4. m∠tmf = ? 5. m∠xlv = ?

Explanation:

Step1: Recall angle - addition postulate

The measure of an angle formed by two adjacent angles is the sum of the measures of the two adjacent angles.

Step2: Calculate \(m\angle TMF\)

For \(\angle TMF\), since \(\angle TMF=\angle TMW+\angle WMF\), and \(\angle TMW = 27^{\circ}\), \(\angle WMF=63^{\circ}\), then \(m\angle TMF=27^{\circ}+ 63^{\circ}\).
\[m\angle TMF = 90^{\circ}\]

Step3: Calculate \(m\angle XLV\)

For \(\angle XLV\), since \(\angle XLV=\angle XLC+\angle CLV\), and \(\angle XLC = 39^{\circ}\), \(\angle CLV = 103^{\circ}\), then \(m\angle XLV=39^{\circ}+103^{\circ}\).
\[m\angle XLV=142^{\circ}\]

Answer:

1. \(m\angle TMF = 90^{\circ}\)
2. \(m\angle XLV = 142^{\circ}\)