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In the given figure, what is value (in degrees) of Q?
Question

In the given figure, what is value (in degrees) of Q?

A.

30

B.

40

C.

50

D.

60

Correct option is D

Given:

Top angle = 70°

Inner angle = 150°

Bottom angle = 20°

Find Q

Formula Used:
Sum of interior angles of a quadrilateral = 360°

Solution:

Consider the figure as a quadrilateral.

The given inner angle is 150°, but it is an exterior indentation angle.
So the interior reflex angle there is:

360° − 150° = 210°

Now sum of interior angles:

70° + 20° + 210° + Q = 360°

300° + Q = 360°

Q = 60°

Therefore,

Q = 60°

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