Question

solve for ( mangle def ) if ( mangle deg = 83^{circ} ) and ( mangle gef = 60^{circ} ).

Explanation:

Step1: Use angle addition postulate

By angle addition postulate, \(m\angle DEF=m\angle DEG + m\angle GEF\)

Step2: Substitute the given values

Substitute \(m\angle DEG = 83^{\circ}\) and \(m\angle GEF=60^{\circ}\) into the formula.
\(m\angle DEF=83^{\circ}+ 60^{\circ}\)

Step3: Calculate the sum

\(83 + 60=143\)

Answer:

\(143\)