In $△ A B C$ , $∠ A a n d ∠ C$ are given. The number of triangles that can be constructed with this data is:

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Infinite

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Solution

The correct option is D Infinite
Sum of angles of triangles is $180^{\circ}$
$∠ B = 180^{\circ} - ∠ A - ∠ C$

We can construct infinite number of triangles as we are not given the measures of its sides. These triangles will be similar to each other.

Refer to the following image:

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In △ABC, ∠A and ∠C are given. The number of triangles that can be constructed with this data is:

The correct option is D InfiniteSum of angles of triangles is 180∘ ∠B=180∘−∠A−∠C We can construct infinite number of triangles as we are not given the measures of its sides. These triangles will be similar to each other. Refer to the following image:

In $△ A B C$ , $∠ A a n d ∠ C$ are given. The number of triangles that can be constructed with this data is:

The correct option is D Infinite
Sum of angles of triangles is $180^{\circ}$
$∠ B = 180^{\circ} - ∠ A - ∠ C$

We can construct infinite number of triangles as we are not given the measures of its sides. These triangles will be similar to each other.

Refer to the following image: