Subjects geometry

Parallelogram Angles D2A1Ec

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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: $$x = 112°$$ $$y = 112°$$ $$z = 68°$$