Question

the measure of three angles of a triangle are in the ratio 5:3:1. Find the measures of these angles​

Answer 1

$\huge\bold{Answer:-}$

Given:-

• The measure of three angles of a triangle are in the ratio 5:3:1

To Find :-

• The measure of each angles

Solution:-

Let, the ratio be 5x , 3x , x

As we know ,

The sum of three angles of a triangle is 180°

ATQ

➱ 5x + 3x + x = 180°

➱ 9x = 180°

➱ x = $\dfrac{180°}{9}$

➱ x = 20°

As, the value of x is 20°

now , putting the value of x in 5x , 3x , x we get -

5x = ( 5 × 20 )° = 100°

3x = ( 3 × 20 )° = 60°

x = 20°

So, the measure of the three angles in a triangle is 100°, 60° , 20°

Answer 2

5x+3x+1x = 180°

9x = 180.

x = 180/9 = 20

therefore the sides of triangle are

5×20, 3×20,1×20

= 100,60 and 20

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