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Question

The angles of a triangle are arranged in ascending order of magnitude. If the different between two consecutive angles is 10°, then all the three angles.


A

80°,70°,60°

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B

180°,20°,40°

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C

50°,40°,90°

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D

50°,60°,70°

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Solution

The correct option is D

50°,60°,70°


Explanation for the correct option:

Determine the all angles of the triangle

It is given that, the angles of a triangle are arranged in ascending order of magnitude and the different between two consecutive angles is 10°.

Let one angle of a triangle be x.
Second angle will be x+10.
Third angle will be x+20.
It is known that, the sum of interior angles of a triangle is 180°.
Then,

x+x+10+x+20=180°
3x+30=180°
x=50°
Thus, the angles are 50°,60°,70°.

Hence, option (D) is correct answer.


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