Question

I will send u a picture of the topic it is hard to explain in words. it job is to find the measure of each labeled angle so 5x and 4x

Answer 1

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.

`5x+4x=180`

Now, we solve for x.

`\begin{gathered} 9x=180 \\ x=(180)/(9) \\ x=20 \end{gathered}`

We use this value to find each angle.

`\begin{gathered} 5x=5(20)=100 \\ 4x=4(20)=80 \end{gathered}`

Therefore, the angles are 100° and 80°.