The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be th

1.	The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be the supplementary of the largest angle of the triangle?1. 60° 2. 80° 3. 90° 4. 100°
Answer» Correct Answer - Option 4 : 100° Given: The ratio of angles of triangle = 4 ∶ 3 ∶ 2 Formula used: Sum of all angles of triangle = 180° The supplementary angle of x = 180° – x Calculation: Let the angles be 4x, 3x and 2x Sum of all angles of triangle = 180° 4x + 3x + 2x = 180° ⇒ 9x = 180° ⇒ x = 20° Angles of the triangle are 4x = 80°, 3x = 60°, and 2x = 40° Largest angle of triangle = 80° Supplementary angle of 80° = 180° – 80° ⇒ Supplementary angle of 80° = 100° ∴ Supplementary angle of largest angle of the triangle is 100°

The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be the supplementary of the largest angle of the triangle?1. 60° 2. 80° 3. 90° 4. 100°

Answer» Correct Answer - Option 4 : 100°

Given:

The ratio of angles of triangle = 4 ∶ 3 ∶ 2

Formula used:

Sum of all angles of triangle = 180°

The supplementary angle of x = 180° – x

Calculation:

Let the angles be 4x, 3x and 2x

Sum of all angles of triangle = 180°

4x + 3x + 2x = 180°

⇒ 9x = 180°

⇒ x = 20°

Angles of the triangle are 4x = 80°, 3x = 60°, and 2x = 40°

Largest angle of triangle = 80°

Supplementary angle of 80° = 180° – 80°

⇒ Supplementary angle of 80° = 100°

∴ Supplementary angle of largest angle of the triangle is 100°