Question

∠PMN is congruent to which angle?

A. ∠CBA
B. ∠ABC
C. ∠ACB
D. ∠CAB

Answer 1

D. Angle CAB...........

Answer 2

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.