Given:
A cyclic quadrilateral and two opposite angles of it in the form of y.
To find:
The value of y.
Solution:
We know that, opposite angles of a cyclic quadrilateral are supplementary angles. So, their sum is [tex]180^\circ[/tex].
The measures of opposite angles of cyclic quadrilateral are y and 2y. So,
[tex]y+2y=180^\circ[/tex]
[tex]3y=180^\circ[/tex]
Divide both sides by 3.
[tex]y=\dfrac{180^\circ}{3}[/tex]
[tex]y=60^\circ[/tex]
Therefore, the value of y is [tex]60^\circ[/tex].
