Question

If the angles of the triangle ABC are in ratio 2:3:4,find the measure of angle a b and c

Answer 1

hi there!!

here's Ur answer:

Ratio of angles: 2:3:4

Let the common multiple be 'x'

therefore angle a = 2x
angle b = 3x
angle c= 4x

angle a + angle b + angle c = 180 ( Angle sum property of triangle)

2x + 3x + 4x = 180.
9x = 180
x = 180/9
x = 20

therefore angle a = 2x
= 2 × 20. ( putting the value of 'x')
= 40

angle b = 3x
= 3×20
= 60
angle c = 4x
= 4×20
= 80

angle a = 40
angle b = 60
angle c = 80

hope this helps ☺️!!

Answer 2

Answer
Sum of triangle =180
Let a = 2x
B = 3x
C = 4x
2x + 3x + 4x = 180
9x = 18o
x = 180 |9
x = 20
So a = 40
B = 60
And c= 80