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Standard VII

Mathematics

Angle Sum Property

The angles of...

Question

The angles of a triangle are in the ratio 2 : 3 : 4. The measure of angles are :

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

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

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

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

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Solution

The correct option is D $40^{\circ}, 60^{\circ}, 80^{\circ}$
Let the angles be $2 x, 3 x$ and $4 x$
$2 x + 3 x + 4 x = 180^{\circ} 9 x = 180^{\circ} \Rightarrow x = 20^{\circ}$
So the angles are
$2 \times 20^{\circ} = 40^{\circ} 3 \times 20^{\circ} = 60^{\circ} 4 \times 20^{\circ} = 80^{\circ}$

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Similar questions

Q. Question 8
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is:

A)

60^{\circ}

40^{\circ}

80^{\circ}

20^{\circ}

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.

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

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

Q. Question 8
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is:

A)

60^{\circ}

40^{\circ}

80^{\circ}

20^{\circ}

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The angles of a triangle are in the ratio 2 : 3 : 4. The measure of angles are :

The correct option is D 40∘,60∘,80∘Let the angles be 2x,3x and 4x2x+3x+4x=180∘9x=180∘⇒x=20∘So the angles are2×20∘=40∘3×20∘=60∘4×20∘=80∘

The correct option is D $40^{\circ}, 60^{\circ}, 80^{\circ}$
Let the angles be $2 x, 3 x$ and $4 x$
$2 x + 3 x + 4 x = 180^{\circ} 9 x = 180^{\circ} \Rightarrow x = 20^{\circ}$
So the angles are
$2 \times 20^{\circ} = 40^{\circ} 3 \times 20^{\circ} = 60^{\circ} 4 \times 20^{\circ} = 80^{\circ}$