4. In quadrilateral ABCD, ∠A=1100 , ∠B=1000 , ∠C=600 . a) With respect to the circle drawn with AC as diameter, locate the position of D and B
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⇒ Quadrilateral ABCD inscribe in a circle.
∴ Quadrilateral ABCD is a cyclic quadrilateral.
⇒ ∠ADC+∠ABC=180 '
[ Sum of opposite angles of cyclic quadrilateral is supplementary ]
⇒ 130 '
+∠ABC=180'
⇒ ∠ABC=180 −130 '
⇒ ∠ABC=50 '
Step-by-step explanation:
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