Answer:
We know that,
The sum of the two opposite angles of a circular quadrilateral is 180 degrees.
So,
[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚
Using the above theorem
47 + 7x + 21 = 180
7x + 68 = 180
7x = 180 - 68
7x = 112
x = 112/7
x = 16
Therefore value of x is 16°
Answered by Gauthmath must click thanks and mark brainliest
