Question

The angles of triangles are in the ratio 2:3:5. Find the angles.

Answer 1

Ratios are 2:3:5 given. So, 2*X+3*X+5*x=180° — sum of three angles of a triangle. So, X=18°. Hence angles are 36° , 54° and 90°.

Answer 2

Given:

• The angles of triangles = 2:3:5.

To Find:

• Find the angles.

Solution:

Let the angles be 2x,3x and 5x respectively.

$\sf \longmapsto \: 2x + 3x + 5x = 180 \degree \\ \\ \sf \longmapsto \: 10x = 180 \degree \\ \\ \sf \longmapsto \: x = 18 \degree$

• 1st angle = 2x = 2× 18 = 36°
• 2nd angle = 3x = 3× 18 = 54°
• 3rd angle = 5x = 5× 18 = 90°