Mathematics
In the given figure x°, y°, z° and p° are exterior angles of cyclic quadrilateral ABCD, then x° + y° + z° + p° is :
180°
270°
360°
720°
Circles
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Answer
We know that,
The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
In cyclic quadrilateral ABCD,
∠C = x°, ∠B = p°, ∠D = y° and ∠A = z°.
∴ x° + y° + z° + p° = ∠C + ∠D + ∠A + ∠B
We know that,
Sum of angles in a cyclic quadrilateral is 360°.
∴ ∠A + ∠B + ∠C + ∠D = 360°.
Hence, Option 3 is the correct option.
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