According to the given image, we have a parallelogram whose two consecutive angles are 5x and 4x.
Remember that two consecutive interior angles in a parallelogram sum 180°, so we can express the following equation.
[tex]5x+4x=180[/tex]
Now, we solve for x.
[tex]\begin{gathered} 9x=180 \\ x=\frac{180}{9} \\ x=20 \end{gathered}[/tex]
We use this value to find each angle.
[tex]\begin{gathered} 5x=5(20)=100 \\ 4x=4(20)=80 \end{gathered}[/tex]
Therefore, the angles are 100° and 80°.
