Question

use the given information to prove that ( mangle bad = mangle eag ).
given: ( mangle 1 = mangle 3 )
( mangle 2 = mangle 4 )
prove: ( mangle bad = mangle eag )

Explanation:

Step1: Use angle - addition postulate

By the angle - addition postulate, \(m\angle BAD=m\angle1 + m\angle2\) and \(m\angle EAG=m\angle3 + m\angle4\).

Step2: Substitute using given equalities

Since \(m\angle1 = m\angle3\) and \(m\angle2 = m\angle4\), substitute these into the equations from Step 1. We get \(m\angle BAD=m\angle3 + m\angle4\).

Answer:

\(m\angle BAD = m\angle EAG\)