(iv) ABCD is cyclic, angle B = 120° find measures of
angle D.
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ABCD is cyclic
Opposite Angles is of a Cyclic Quadrilateral is Supplementry.
Given □ABCD is cyclic and ∠B=110∘
In a cyclic quadrilateral the sum of opposite angles=180∘
⇒∠A+∠C=180∘
⇒∠B+∠D=180∘
⇒110∘ +∠D=180∘
⇒∠D=180∘ −110∘
⇒∠D=70∘
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More Information :-
WHAT IS CYCLIC?
Answer - A Cyclic Quadrilateral or Inscribed Quadrilateral is a Quadrilateral whose Vertices all lie on a Single Circle.
- The orthocenters of the same four triangles are the vertices of a quadrilateral congruent to ABCD, and the centroids in those four triangles are vertices of another cyclic quadrilateral.
- In a cyclic quadrilateral ABCD with circumcenter O, let P be the point where the diagonals AC and BD intersect.
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