Question

Ratio of 3 angles of triangles are in ratio of 3:7.10 find the angles of triangle

Answer 1

Step-by-step explanation:

The sum of the angles of a triangle is 180.

3x+7x+10x= 180

20x= 180

X= 9

one angle is 3x = 3×9= 27

2nd angle= 7x= 7×9= 63

3rd angle = 10×9= 90

Answer 2

Answer :

• 27°, 63°, and 90°

Given :

• The ratio of 3 angles of triangles = 3:7:10

To find :

• the angles of the triangle

Solution :

⇒ Let's find the angles. Let the angles of the triangle be 3x, 7x, and 10x.

• The sum of angles in the Triangle is 180°.

⇒ Let's create an equation first.

→ 3x + 7x + 10x = 180°

→ 3x + 17x = 180°

→ 20x = 180°

→ x = 180/20

→ x = 9

∴ x = 9

⇒ Let's find the angles.

→ 3x = 3 × 9

= 27

= 27°

→ 7x = 7 × 9

= 63

= 63°

→ 10x = 10 × 9

= 90

= 90°

• Therefore, the angles of the triangles are 27°, 63°, and 90°.