Question

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

Answer 1

$\sf{Answer:}$

The angles are 20°, 60° and 100°.

For detailed explanation, refer the attachment.

Answer 2

Answer:

The angles are -

• 100°
• 60°
• 20°

Step-by-step explanation:

Given :

Ratio of the angles = 5 : 3 : 1

To find :

The angles

Solution :

Consider the angles as -

• 5x
• 3x
• x

$\rule{300}{1.5}$

According to the Angle Sum Property of Triangle, sum of all angles in a triangle is 180°.

➨ 5x + 3x + x = 180

➨ 8x + x = 180

➨ 9x = 180

➨ x = 180/9

➨ x = 20

One angle = 20°

$\rule{300}{1.5}$

★ Value of 5x

➨ 5(20)

➨ 100

Second Angle = 100°

$\rule{300}{1.5}$

★ Value of 3x

➨ 3(20)

➨ 60

Third angle = 60°

$\therefore$ The angles are -

• 100°
• 60°
• 20°