How many triangles can be drawn having its angles as 53-64- and 63- -Unique triangleTwo trianglesInfinitely many trianglesNone of these

The correct option is C Infinitely many trianglesThe sum of given angles = 53^∘+64^∘+63^∘=180^∘ Here, we see that sum of all interior angles of triangles is 18 ...

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Standard VIII

Mathematics

Triangle and sum of its internal angles

How many tria...

Question

How many triangles can be drawn having its angles as $53^{\circ}, 64^{\circ}$ and $63^{\circ}$ ?

Unique triangle

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Two triangles

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Infinitely many triangles

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None of these

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Solution

The correct option is C Infinitely many triangles
The sum of given angles $= 53^{\circ} + 64^{\circ} + 63^{\circ} = 180^{\circ}$
Here, we see that sum of all interior angles of triangles is $180^{\circ}$ , so infinitely many triangles can be drawn with sides of different length.

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How many triangles can be drawn having its angles as 53∘,64∘ and 63∘ ?

The correct option is C Infinitely many trianglesThe sum of given angles =53∘+64∘+63∘=180∘ Here, we see that sum of all interior angles of triangles is 180∘, so infinitely many triangles can be drawn with sides of different length.

How many triangles can be drawn having its angles as $53^{\circ}, 64^{\circ}$ and $63^{\circ}$ ?

The correct option is C Infinitely many triangles
The sum of given angles $= 53^{\circ} + 64^{\circ} + 63^{\circ} = 180^{\circ}$
Here, we see that sum of all interior angles of triangles is $180^{\circ}$ , so infinitely many triangles can be drawn with sides of different length.