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