Question

The ratio of the measures of the angles in a triangle is 8:3:4 find the measures of the angles

Answer 1

The measure of angles of triangle are 96 degree, 36 degree and 48 degrees

Solution:

The ratio of the measures of the angles in a triangle is 8:3:4

Let the first angle be 8x

Let the second angle be 3x

Let the third angle be 4x

We know that,

sum of all angles in triangle is 180 degrees

Therefore,

8x + 3x + 4x = 180

15x = 180

x = 12

Thus,

First angle = 8x = 8(12) = 96

second angle = 3x = 3(12) = 36

third angle = 4x = 4(12) = 48

Thus measure of angles of triangle are 96 degree, 36 degree and 48 degrees