We know that consecutive angles in a parallelogram are supplementary, as they are consecutive interior angles between parallel lines.
Then, if we add the measure of x° and the measure of 5x° we get 180°. Then, we can write this expression and solve for x:
[tex]\begin{gathered} x+5x=180 \\ 6x=180 \\ x=\frac{180}{6} \\ x=30 \end{gathered}[/tex]
Then, the angle x has a measure of 30° and the angle 5x has a measure of 5*30=150°.
Answer: a. 30°, 150°, 30°, 150°
