1.

In a triangle A,B,C if 3angle A=4angle B=6angle C,then angle A, angle B, angle C areA) 70°,70°,40°B) 80°,60°,40°C) 60°,60°,60°D) 75°,45°,60°

Answer»

Given: 
In ∆ABC , 3∠A= 4∠B= 6∠C

Let x= 3∠A= 4∠B= 6∠C

x=3∠A
∠A= x/3

x=4∠B
∠B= x/4

x=6∠C
∠C= x/6

By angle sum property

∠A+∠B+∠C= 180°
Put the value of ∠A, ∠B, ∠C 
x/3+x/4+x/6= 180°
L.c.m of 3,4,6 = 12

(4x + 3x +2x) /12 = 180°
9x = 12 × 180
x= (12× 180) /9
x= 240°

∠A= x/3
∠A= 240/3 = 80°

∠B= x/4
∠B= 240/4= 60°

∠C= x/6
∠C= 240/6 = 40°
_____________________________
Hence the angles be 
∠A=80°
∠B=60°
∠C= 40°


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