Question

angle bisector and congruent angles
in the figure to the left, look for congruent angles.
check which angles are congruent.
(select all that apply.)
$\angle hge\cong\angle fge$
$\angle srp\cong\angle qrp$
$\angle ymn\cong\angle omn$
$\angle ymn\cong\angle emo$
$\angle emo\cong\angle nmo$
$\angle ymo\cong\angle emn$

Explanation:

Step1: Analyze Figure #1

In Figure #1, \(\angle HGE = 45^{\circ}\) and \(\angle FGE=44^{\circ}\), so \(\angle HGE
ot\cong\angle FGE\)

Step2: Analyze Figure #2

In Figure #2, \(\angle SRP = 52^{\circ}\) and \(\angle QRP = 52^{\circ}\), so \(\angle SRP\cong\angle QRP\)

Step3: Analyze Figure #3

In Figure #3, \(\angle YMN\) and \(\angle OMN\) are marked as equal (denoted by \(x\)), so \(\angle YMN\cong\angle OMN\)
\(\angle YMN\) and \(\angle EMO\) are not marked as equal. \(\angle EMO\) and \(\angle NMO\) are not marked as equal. \(\angle YMO\) and \(\angle EMN\) are not marked as equal.

Answer:

\(\angle SRP\cong\angle QRP\), \(\angle YMN\cong\angle OMN\)