Question

The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angle. What is the sum of the smallest and the second largest angle?

• A. 80°
• B. 60°
• C. 100°
• D. 90°
• E. None of these

Answer 1

The correct option is D

90°

Let the angles be x, y and z (x is the smallest angle and z is the largest angle)

x + y + z = 180⁰

$\frac{y}{z}=\frac{3}{2}$

x = 0.2(y + z)

y + z = 5x

x = 30${}^0$​ and y + z = 150${}^0$​

y = 60${}^0$​

x + y = 90${}^0$​