Introduction to Curves

Q. In the given figure, ABCD is a cyclic quadrilateral in which $\angle BAD={120}^{\circ }$. Find $\angle BCD$.

1. ${240}^{\circ }$
2. ${60}^{\circ }$
3. ${120}^{\circ }$
4. ${180}^{\circ }$

Q. If $l_1$ and $l_2$ are two parallel lines, find the value of $x$.

1. 31

Q. The ratio between the number of sides of two regular polygons is $3:4$ and the ratio between the sum of their interior angles is $2:3$. Find the number of sides in each polygon

1. $7$ and $8$
2. $3$ and $4$
3. $12$ and $16$
4. $6$ and $8$