Can a triangle have
Three angles whose measures are $46 °, 58 ° a n d 76 °$ ?

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Solution

A triangle is only possible when the sum of all its three angles add to $180 °$ (angle sum property).
Lets add all the three given angles $46 ° + 58 ° + 76 °$ which is equal to $180 °$ .
Since their sum is $180 °$ , hence a triangle with these angles is possible

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State whether the triangle is acute-angled or not whose measures are given below:

56°, 48°, 76°

State whether the triangle is acute-angled or not whose measures are given below:

$58, 83 °, 39 °$

State whether the triangle is right angled or not whose measures are given below:

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∆

∠

58^{°}

∠

46^{°}

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