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Of the three angles of a triangle, one i...

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.

A

30,40,110

B

30,60,90

C

45,45,90

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Let the smallest angle=`alpha`
Another angle=`2alpha`
Third angle=`3alpha`
In any triangle
Sum of angles=`180^@`
`alpha+2alpha+3alpha=180^@`
`6alpha=180^@`
`alpha=30^@`
...
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