The ratio of an angle and its comple-mentary angle is 2 : 7, then the angle is
The ratio of an angle and its comple-mentary angle is 2 : 7, then the angle is
A) 70°
B) 20°
C) 110°
D) 50°
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Correct option is (B) 20°
Let both angles are 2x and 7x.
\(\because\) Both angles are complementary angles to each other.
\(\therefore\) 2x+7x = \(90^\circ\)
\(\Rightarrow\) 9x = \(90^\circ\)
\(\Rightarrow\) x = \(\frac{90^\circ}9=10^\circ\)
\(\therefore\) Required angle = 2x \(=20^\circ\)
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