Question

solve for ( mangle cde ) if ( mangle cdf = 52^{circ} ) and ( mangle fde = 44^{circ} ).

Explanation:

Step1: Use angle - addition postulate

By the angle - addition postulate, \(m\angle CDE=m\angle CDF + m\angle FDE\).

Step2: Substitute the given values

Substitute \(m\angle CDF = 52^{\circ}\) and \(m\angle FDE=44^{\circ}\) into the formula.
\(m\angle CDE=52^{\circ}+44^{\circ}\)

Step3: Calculate the sum

\(52 + 44=96\), so \(m\angle CDE = 96^{\circ}\)

Answer:

\(96^{\circ}\)