# Angles of a trian

Let us draw a ΔABC.

It is given that the angles of the triangle are in the ratio 2: 4: 3.

Let us assume,

A = 2x, B = 4x, C = 3x - - - - (i)

We know that the sum of the angles of a triangle is equal to 180°.

So, A + B + C = 180°

2x + 4x + 3x = 180° [From equation (i)]

9x = 180°

x = 20° - - - - (ii)

From equation (ii), we get

A = 2x = 2 × 20° = 40°

B = 4x = 4 × 20° = 80°

C = 3x = 3 × 20° = 60°

From above, we find that the smallest angle, A is 40°.

Thus, option (B) is correct.

Option (A) is not correct. The smallest angle is not 60° this is because the smallest angle is A which is 40°. So, the smallest angle of the triangle is not 60°.

Option (C) is not correct. B measures 80° which is the largest angle of the triangle. So, the smallest angle of the triangle is not 80°.

Option (D) is not correct. 20° is not the correct angle for any of the angles of the triangle. So, the smallest angle of the triangle is not 20°.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Lines and Angles60 mins
Bonus Questions - 156 mins
Bonus Questions - 257 mins
Revision on Angle sum Property of Triangles44 mins
Sphere and Hemisphere42 mins
Speed and Velocity42 mins
Surface Area and Volume of solids Revision43 mins
Arc of Circle And Related IMP Qs40 mins
IMP Theorems And Their Application43 mins
Circles- All kinds of Questions36 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

The sides BC, BA RS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

The angles of a tRS Aggarwal & V Aggarwal - Mathematics

In ΔABC, <span laRS Aggarwal & V Aggarwal - Mathematics

In ΔABC, BD <spanRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In a ΔABC its is RS Aggarwal & V Aggarwal - Mathematics

Side BC of ΔABC hRS Aggarwal & V Aggarwal - Mathematics

An exterior angleRS Aggarwal & V Aggarwal - Mathematics