∠PMN is congruent to which angle?
A. ∠CBA
B. ∠ABC
C. ∠ACB
D. ∠CAB
2 answers:
Answer:
Step-by-step explanation:
Given : ΔPMN and ΔCAB
To Find : ∠PMN is congruent to which angle?
Solution:
In ΔPMN and ΔCAB
PM=CA(Given)
MN=AB(Given)
NP=BC(Given)
So, ΔPMN ≅ ΔCAB by SSS property .
SSS Property : Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.
Now corresponding angles of congruent triangles are equal .
So,∠PMN ≅ ∠CAB
Thus ∠PMN is congruent to ∠CAB
Hence Option D is true.
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