Question

Find the angles of a triangle which are in the ratio 5:3:1.​

Answer 1

Answer:

Let the common multiple be x.

Angles of triangle are 5x, 3x, x.

According to angle sum property of triangle,

5x+3x+x=180

9x=180

x=180/9

x=20

5x=5*20=100

3x=3*20=60

x=20

Therefore angles of triangle are 100°, 60°, 20°

Answer 2

Answer:

the three angles are 100 degrees, 60 degrees and 20 degrees

Step-by-step explanation:

ratio of interior angles of a triangle= 5:3:1,

we know that the sum of all the interior angles of a triangle is equal to 180 degrees.

let the three angles be,

5x, 3x & 1x

we know that,

$5x + 3x + 1x = {180}^{0}$

$9x = {180}^{0}$

$x = \frac{180}{9} = 20$

on substituting the values of X we get,

$5x = {100}^{0}$

$3x = {60}^{0}$

$x = {20}^{0}$

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