Question

The angles of a triangle are in ratio 1 : 3 : 5. Find the measure of each one of the angles.​

Answer 1

Answer:

Step-by-step explanation

Let the value be x

Sum of interior angle of triangle is 180

1x+3x+5x=180

9x=180

X=180/9

X=20 angles are

20 , 60,100

Answer 2

✬ Angles = 20°,60°,100° ✬

Step-by-step explanation:

Given:

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

To Find:

• What is the meaure of each angle of triangle ?

Solution: Let x be the common in given ratio. Therefore,

• ∠1 = 1x
• ∠2 = 3x
• ∠3 = 5x

As we know that the sum of all the three angles of a triangle is of 180°.

$\implies{\rm }$ ∠1 + ∠2 + ∠3 = 180°

$\implies{\rm }$ 1x + 3x + 5x = 180°

$\implies{\rm }$ 9x = 180°

$\implies{\rm }$ x = 180/9

$\implies{\rm }$ x = 20

So, Measure of each angles are

➱ ∠1 = 1x = 20°

➱ ∠2 = 3x = 3(20) = 60°

➱ ∠3 = 5x = 5(20) = 100°

_______________________

★ Verification ★

→ 20° + 60° + 100° = 180°

→ 180° = 180°

[ Verified ]