Question : The ratio of the angles of a triangle is 1 : 2 : 6. What is the smallest angle?
Option 1: $40^\circ$
Option 2: $45^\circ$
Option 3: $30^\circ$
Option 4: $20^\circ$
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Correct Answer: $20^\circ$
Solution :
Ratio of the angles of triangle = 1 : 2 : 6
Let the angles be $x, 2x$ and $6x$ and $x$ be the smallest angle.
$x+2x+6x=180^\circ$
⇒ $9x=180^\circ$
⇒ $x = 20^\circ$
Hence, the correct answer is $20^\circ$.
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