Question

triangle ABC = 3angle A= 4angle B = 6angle C = ,calculate the angles

Answer 1

Answer: angle A equals to 80 degree angle B equals to 60 degree angle C equals to 40 degree.

Step-by-step explanation is provided in the picture attached to the answer please mark it brainiest

Answer 2

According to angle sum property:-

$\angle \: a + \angle \:b + \angle \: c = 180 \degree$

Let the angle be 'x'

$3 \angle \: a = 4\angle \:b = 6\angle \: c = x$

$\angle \:a = \frac{x}{3} \\ \\ \angle \:b = \frac{x}{4} \\ \\ \angle \: c = \frac{x}{6} \\ \\ \\ \frac{x}{3} + \frac{x}{4} + \frac{x}{6} = 180 \degree$

Taking the lcm of 3,4,6 as 12

$\large \frac{4x + 3x + 2x}{12}= 180°$

$\frac{9x}{12} = 180 \degree \\ \\ x = \frac{180 \times 12}{9} \\ \\ x = \frac{2160}{9} \\ \\ x = 240 \degree$

Measurement Of Angles:-

$\red{ \angle a} = \frac{x}{3} = \frac{240}{3} = 80 \degree \\ \\ \red{ \angle b} = \frac{x}{4} = \frac{240}{4} = 60 \degree \\ \\ \red{ \angle c} = \frac{x}{6} = \frac{240}{6} = 40 \degree$

Hence,The measure of all 3 angles are 80°, 60° and 40°.