Answer:
Option B is the right choice,congruent to [tex]\angle K[/tex] are [tex]\angle M,\angle E,\angle C[/tex].
Step-by-step explanation:
If we look on to the diagram and the options we can sort out the angles on the basis of our requirement.
There are three sets arising from the angles.
[tex]\angle K=\angle P [/tex] [Corresponding angles]
The corresponding angles are the ones at the same location at each intersection.
[tex]\angle K=\angle M[/tex] [Vertically opposite angles]
And
[tex]\angle M=\angle P[/tex] [Alternate interior angles]
Now
[tex]\angle R =\angle C =\angle E[/tex] [Corresponding angles]
[tex]\angle C=\angle A[/tex] [Vertically opposite angles]
[tex]\angle G=\angle E[/tex] [Vertically opposite angles]
[tex]\angle K=\angle M=\angle P=\angle R=\angle C=\angle A=\angle E=\angle =\angle G[/tex]
So the correct pair from the options given is B which includes [tex]\angle M=\angle E=\angle C[/tex]
