Two supplementary angles are in the ratio 2 : 7. The two angles areA)

1.	Two supplementary angles are in the ratio 2 : 7. The two angles areA) 80° and 280° B) 60° and 210° C) 40° and 140° D) 20° and 70°
Answer» Correct option is (C) 40° and 140° Let the angle are 2x and 7x. \(\therefore\) 2x+7x = \(180^\circ\) \((\because\) Sum of supplementary angles is \(180^\circ)\) \(\Rightarrow\) 9x = \(180^\circ\) \(\Rightarrow\) x = \(\frac{180^\circ}9=20^\circ\) \(\therefore\) 2x = \(40^\circ\) and 7x = \(140^\circ\) Hence, both required supplementary angles are \(40^\circ\) and \(140^\circ.\) C) 40° and 140°

Two supplementary angles are in the ratio 2 : 7. The two angles areA) 80° and 280° B) 60° and 210° C) 40° and 140° D) 20° and 70°

Answer»

Correct option is (C) 40° and 140°

Let the angle are 2x and 7x.

\(\therefore\) 2x+7x = \(180^\circ\) \((\because\) Sum of supplementary angles is \(180^\circ)\)

\(\Rightarrow\) 9x = \(180^\circ\)

\(\Rightarrow\) x = \(\frac{180^\circ}9=20^\circ\)

\(\therefore\) 2x = \(40^\circ\) and 7x = \(140^\circ\)

Hence, both required supplementary angles are \(40^\circ\) and \(140^\circ.\)

C) 40° and 140°