Question

3.1.4 check your understanding
two angles, ∠pkr and ∠hdf, are shown.
determine the appropriate symbol under each drop - down menu.
congruence
∠pkr ∠hdf
equality
m∠pkr m∠hdf

Explanation:

Step1: Recall angle - congruence and equality rules

Two angles are congruent if they have the same measure. Two angles are equal in measure if their degree values are the same.

Step2: Check the given angle measures

We are given that $\angle PKR = 80^{\circ}$ and $\angle HDF=80^{\circ}$.
Since they have the same measure, for congruence, the symbol for congruence of angles is $\cong$. So, $\angle PKR\cong\angle HDF$.
For equality of angle - measures, the symbol is $=$. So, $m\angle PKR = m\angle HDF$.

Answer:

Congruence: $\angle PKR\cong\angle HDF$
Equality: $m\angle PKR = m\angle HDF$