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ADith P Raveendran

· started a discussion

· 1 Months ago

geometry (Question:120389.0)

what is cyclic quadrilateral

Question:
The ratio between the angles of a quadrilateral is 3: 4: 6: 7. Half of the smallest angle of quadrilateral is the angle of cyclic quadrilateral. Find another angle of cyclic quadrilateral?
Options:
A) 97°
B) 86°
C) 112°
D) 153°
E) 135°
Solution:
Let smallest angle is 3x

So,

3x + 4x + 6x + 7x = 3600

Smallest angle = 540

According to given condition one angle of Cyclic quadrilateral = 270

Another = 180 – 27 = 1530

Knowledge Expert

· commented

· 1 Months ago

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be con cyclic.
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