Question 68

In the figure, if $$\angle$$A = 100$$^\circ$$ then $$\angle$$C = ?

Solution

Quadrilateral ABCD is a cyclic quadrilateral.

Sum of opposite angles in a cyclic quadrilateral is 180$$^{\circ\ }$$

$$\Rightarrow$$ $$\angle$$A + $$\angle$$C = 180$$^{\circ\ }$$

$$\Rightarrow$$ 100$$^{\circ\ }$$ + $$\angle$$C = 180$$^{\circ\ }$$

$$\Rightarrow$$ $$\angle$$C = 80$$^{\circ\ }$$

Hence, the correct answer is Option C

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