Parallelogram Angles D2A1Ec
1. The problem states that we have a parallelogram with one angle measuring 68° and we need to find the other three angles labeled $x$, $y$, and $z$.
2. Important properties of parallelograms:
- Opposite angles are equal.
- Adjacent angles are supplementary, meaning they add up to 180°.
3. Since one angle is 68°, the opposite angle is also 68°.
4. The adjacent angles to 68° must be supplementary:
$$x + 68 = 180$$
Solving for $x$:
$$x = 180 - 68 = 112$$
5. Since $y$ is opposite to $x$, $y = 112°$.
6. The last angle $z$ is opposite to the given 68°, so $z = 68°$.
Final answers:
$$x = 112°$$
$$y = 112°$$
$$z = 68°$$