Q. 274.2( 5 Votes )

# If 3∠A = 4∠B = 6∠C, then A : B : C = ?

A. 3:4:6

B. 4:3:2

C. 2:3:4

D. 6:4:3

Answer :

Let say

A =x/3

B = x/4

C = x/6

A + B + C = 180

x/3 + x/4 + x/6 = 180

(4x + 3x + 2x)/12 = 180

9x/12 = 180

X= 240

A =x/3 = 240/3 = 80

B = x/4 = 240/4 = 60

C = x/6 = 240/6 = 40

So, A:B:C = 4:3:2

Rate this question :

The sides BC, BA and CA of ΔABC have been produced to D, E and F respectively, as shown in the given figure. Then, ∠B = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, AB || CD. If ∠EAB = 50° and ∠ECD = 60°, then ∠AEB = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, x = ?

RS Aggarwal & V Aggarwal - Mathematics

The angles of a triangle are in the ratio 3:2:7. Find the measure of each of its angles.

RS Aggarwal & V Aggarwal - MathematicsIn ΔABC, ∠B = 90° and BD ⊥ AC. Prove that ∠ABD = ∠ACB.

RS Aggarwal & V Aggarwal - Mathematics

In ΔABC, BD ⊥ AC, ∠CAE = 30° and ∠CBD = 40°. Then ∠AEB = ?

RS Aggarwal & V Aggarwal - Mathematics

In the given figure, ∠BAC = 30°, ∠ABC = 50° and ∠CDE = 40°. Then ∠AED = ?

RS Aggarwal & V Aggarwal - Mathematics

In a ΔABC its is given that ∠A : ∠B : ∠C = 3 : 2 : 1 and CD ⊥ AC. Then ∠ECD = ?

RS Aggarwal & V Aggarwal - Mathematics

Side BC of ΔABC has been produced to D on left hand side and to E on right hand side such that ∠ABD = 125° and ∠ACE = 130°. Then ∠A = ?

RS Aggarwal & V Aggarwal - Mathematics

An exterior angle of a triangle is 110° and one of its interior opposite angles is 45°, then the other interior opposite angle is

RS Aggarwal & V Aggarwal - Mathematics