The answer choice which does not represent a pair of congruent angles in the attached diagram is; Choice B; Angles ABD and BAD.
Which is not a pair of congruent angles?
Congruent angles which are otherwise termed similar angles are angles which have the same measure. Hence, the congruence of angles is guided by the alternate, corresponding and vertically opposite angles theorem.
On this note, the answer choices B does not represent a congruent pair. This follows from the fact that; angle ABD is congruent to BDC while angle ADB is congruent to DBC (alternate angles).
Remarks;
A. Angles BDA and DBC
B. Angles ABD and BAD
C. Angles ABD and BDC
D. Angles BCD and BAD
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