The ratio of two consecutive angles of a parallelogram is 1 : 2, then the greater angle is
The ratio of two consecutive angles of a parallelogram is 1 : 2, then the greater angle is
A) 60°
B) 30°
C) 120°
D) 150°
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Correct option is (C) 120°
Let both consecutive angles are x and 2x.
\(\therefore\) x+2x = \(180^\circ\) \((\because\) Sum of two consecutive angles in a parallelogram is \(180^\circ)\)
\(\Rightarrow\) 3x = \(180^\circ\)
\(\Rightarrow\) x = \(\frac{180^\circ}3=60^\circ\)
\(\therefore\) Greater angle = 2x \(=120^\circ\)
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