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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°

ALGEBRA Determine The Angle Measure In The Polygona 30 150 30 150b 30303030c 4522545255D 15751575 class=

Answer :

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°

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