In the figure, a : b : c = 4 : 3 : 5. If AOB is a straight line, find

1.	In the figure, a : b : c = 4 : 3 : 5. If AOB is a straight line, find the value of a, b and c.
Answer» We have, a : b : c = 4 : 3 : 5 ⇒ ∠a = 4x, ∠b = 3x and ∠c = 5x But ∠a + ∠b + ∠c = 180° (Straight angle) ⇒ 4x + 3x + 5x = 180° ⇒ 12x = 180° ⇒ x = 15° Angles are 4 x 15° = 60°, 3 x 15° = 45° and 5 x 15° = 75°

In the figure, a : b : c = 4 : 3 : 5. If AOB is a straight line, find the value of a, b and c.

Answer»

We have, a : b : c = 4 : 3 : 5

⇒ ∠a = 4x, ∠b = 3x and ∠c = 5x

But ∠a + ∠b + ∠c = 180° (Straight angle)

⇒ 4x + 3x + 5x = 180°

⇒ 12x = 180°

⇒ x = 15°

Angles are 4 x 15° = 60°, 3 x 15°

= 45° and 5 x 15° = 75°