Given:
Given that the angles of the kite.
The opposite angles of the kite measures (3y + 14)° and (y + 50)°
We need to determine the value of y.
Value of y:
We know the property that the opposite angles are equal.
Thus, applying the property, we have;
![3y+14=y+50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9xti0bx6vo3odpq9faq3pcg70exz401pr9.png)
Subtracting both sides of the equation by y, we have;
![2y+14=50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4p6nb0usv3iuu7iceh8vcibam9s5qr43m7.png)
Subtracting both sides of the equation by 14, we get;
![2y=36](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z9uijusk2nep15of742sdq43ak0ptczzlo.png)
Dividing both sides of the equation by 2, we get;
![y=18](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u811wg1nfuttid6x0jwyumtvdei0vraxoz.png)
Thus, the value of y is 18.