The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?
The largest and the second largest angles of a triangle are in the ratio of 4 : 3 respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?
A30°
B60°
C40°
D20°
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Correct answer is: 40°
Explanation:
The smallest angle of triangle is half of the largest angle.
Therefore, Ratio of three angles = 4 : 3 : 2
Now, 4x + 3x + 2x = \(180^o\)
\(\implies 9x = 180 \implies x = 20\)
Therefore, Required difference = 4x - 2x = 2x = \(\Large 2 \times 20 = 40^o\)
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