Which of the following angles can form a triangle:

100^{\circ}, 90^{\circ}, 30^{\circ}

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80^{\circ}, 80^{\circ}, 40^{\circ}

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60^{\circ}, 80^{\circ}, 40^{\circ}

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105^{\circ}, 75^{\circ}, 20^{\circ}

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Solution

The correct option is C $60^{\circ}, 80^{\circ}, 40^{\circ}$
Sum of angles in a triangle is $180^{\circ}$ .

In each of the options, find the sum of the angles given.

From the given option only the sum of 60 + 80 + 40 add up to to $180^{\circ}$ .

In all others, the sum is either greater than or less than $180^{\circ}$ .

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Similar questions

Q. Draw a histogram and frequency polygon to represent the following data.

Marks	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
No. of Students	$12$	$22$	$35$	$40$	$60$	$52$	$40$	$30$	$5$

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

Construct a frequency distribution table.

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

How many students obtained marks below

40

The marks obtained by $40$ students of a class are given below :
$80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70,$
$10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,$ $50, 80,$
$60, 70, 40, 50, 60, 90, 60, 40, 40, 60$ , and $60$

How many numbers are less than

35

Class-intervals	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$	$100 - 110$
Frequency	$30$	$25$	$45$	$15$	$20$	$40$

Draw a histogram to represent this data:

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Which of the following angles can form a triangle:

The correct option is C 60∘,80∘,40∘Sum of angles in a triangle is 180∘. In each of the options, find the sum of the angles given. From the given option only the sum of 60 + 80 + 40 add up to to 180∘. In all others, the sum is either greater than or less than 180∘.