Question

ALGEBRA determine the angle measure in the polygon.a. 30°, 150°, 30°, 150°b. 30°,30°,30°,30°c. 45°,225°,45°,255°D. 15°,75°,15°,75°

Answer 1

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:

`\begin{gathered} x+5x=180 \\ 6x=180 \\ x=(180)/(6) \\ x=30 \end{gathered}`

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°