Question

Of the three angles of a triangle, one is twice the smallest and another is thrice the smallest. The angles of the triangle will be

• A. 40^o, 60^o, 80^o
• B. 60^o, 90^o, 30^o
• C. 70^o, 50^o, 60^o
• D. 80^o, 50^o, 50^o

Answer 1

The correct option is B

60^o, 90^o, 30^o

Let the triangle be ABC and ÐC be the smallest angle of the triangle.

Now, ÐA = 2ÐC,

ÐB = 3ÐC

By angle sum property of the triangle

ÐA + ÐB + ÐC = 180^o

Substituting the values ÐA and ÐB

ÐC = 30^o

And, ÐA = 60^o, ÐB = 90^o