Given a parallelogram ABCD, solve for x.
Check the final answer first, then review the worked steps.
Problem
Given a parallelogram ABCD, solve for x.
Step-by-step solution
In a parallelogram, consecutive angles are supplementary. Therefore, $(30 + 5x) + (15 + 10x) = 180$. Solving for x gives $45 + 15x = 180$, so $15x = 135$, and $x = 9$.
Answer
9