91Ó°ÊÓ

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

If $aâˆ\yen b$, name all angels that must be congruent to $∠1$.

Two lines that do not intersect are parallel.

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.

Draw a triangle that satisfies the conditions stated. If no triangle can satisfy the conditions, write not possible.

1. a. An acute isosceles triangle.

b. A right isosceles triangle.

c. An obtuse isosceles triangle.

If $\stackrel{¯}{ED}||\stackrel{¯}{AC}$, name all pairs of angles that must be congruent.

If $m∠1=130$what are the measures of the other numbered angels?

Complete.

10. In a regular decagon, the sum of the measures of the exterior angles is$\underset{¯}{?}$ and the measure of each interior angle is $\underset{¯}{?}$.

Find the values of x andy.

If $\stackrel{¯}{ED}||\stackrel{¯}{AC}$and $\stackrel{¯}{EB}||\stackrel{¯}{DC}$, name all pairs of angles that must be congruent.