MathematicsIf an angle is twice to its supplementary angle, then a correct statement is

If an angle is twice to its supplementary angle, then a correct statement is

A
The greatest angle is 100°
B
The least angle is 60°
C
The least angle is 80°
D
The greatest angle is 120°

Solution:

Consider the least angle $= x$

The second angle $= 2 x$

Now $x + 2 x = 180 °$ ( $∵$ the angles are supplementary )

$\Rightarrow 3 x = 180 °$

$\Rightarrow x = \frac{180 °}{3} = 60 °$

$∴$ The least angle $= 60 °$

The greatest angle $= 2 \times 60 ° = 120 °$

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