Question

the measure of three angles of a triangle are in the ratio 3:2:1. find the measure of these triangles.

Answer 1

Given that

Three angle of triangle are in ratio

3:2:1

To find measures

Solution

$let \: angles \: of \: triangles \: are \: 3x \: 2x \: 1x$

then

by angle sum property

$3x + 2x + 1x = 180$

$6x = 180$

$x = \frac{180}{6}$

$x = 30$

hence angle will be

$3x = 3 \times 30 \\ = 90$

$2x = 2 \times 30 \\ = 60$

$1x =1 \times 30 \\ = 30$

hence angles measures are 90 degree 60 degree and 30 degree.