In △ ABC, ∠A and ∠C are given, the number

Question

In $△$ ABC, $∠ A a n d ∠ C$ are given, the number of triangles that can be constructed with this data is -

Options:

A . One

B . Two

C . Three

D . Infinite

Answer: Option D
:
D

$∠ S = 180^{o} - (∠ A + ∠ C)$
The angles of the traingle are known. With the given measurement of the angles, we can draw infinite number of traingles (Similar triangles).

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