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Types of Angles

In figure - 4...

Question

In figure - 4, the value of $x$ is

A

30^{\circ}

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B

10^{\circ}

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C

20^{\circ}

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D

40^{\circ}

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Solution

The correct option is A $20^{\circ}$
$2 x + 40^{\circ} + 5 x = 180^{\circ}$ (Supplementary angles)
$7 x = 180^{\circ} - 40^{\circ} x = \frac{140^{\circ}}{7} = 20^{\circ}$

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