Question

if angles A, B and C in a triangle ABC are 3x, 5x and 8x+4 respectively, then
find all the three angles.

Answer 1

Answer:

Let the three angles of the given triangle be A, B and C respectively.

So,

A = 3x

B = 5x

C = 8x + 4

By the angle sum property of the triangle,

A + B + C = 180°

3x + 5x + 8x + 4 = 180°

16x + 4 = 180°

16x = 180° - 4

= 176

x = 176/16

= 11

Therefore,

First angle = x = 11°

Second angle = 3x = 3(11) = 33°

Third angle = 8x + 4 = 8(11) + 4 = 88 + 4 = 92°.

Hope this is helpful for you.