Question

1. block 30 11/23/24 12:47 am 2024 wode with september 20 2:17:31 pm c. 1234 5678 question solve for ( m angle d e f ).

Explanation:

Step1: Use angle addition postulate

The angle addition postulate states that if an angle is composed of two non - overlapping adjacent angles, then the measure of the larger angle is the sum of the measures of the two smaller angles. So, \(m\angle DEF=m\angle DEG + m\angle GEF\).

Step2: Substitute the given values

We are given that \(m\angle DEG = 19^{\circ}\) and \(m\angle GEF=46^{\circ}\). Substituting these values into the equation from Step 1, we get \(m\angle DEF=19^{\circ}+46^{\circ}\).

Step3: Calculate the sum

\(19 + 46=65\), so \(m\angle DEF = 65^{\circ}\).

Answer:

\(65^{\circ}\)