Angles, triangles, and quadrilaterals

Advanced Math 7 · Unit 8 · euclidean-angles-polygons

euclidean-angles-polygons

Name ______________________________Date ______________

1.
Two angles are supplementary. One measures $37^\circ$ . What is the other, in degrees?
Answer: ______________
2.
What is the size of each interior angle of a regular nonagon ( $9$ sides), in degrees?
Answer: ______________
3.
In triangle $ABC$ , side $BC$ is extended past $C$ to a point $D$ . The exterior angle $\angle ACD = 112^\circ$ and $\angle BAC = 47^\circ$ . Find $\angle ABC$ , in degrees.
Answer: ______________
4.
Lines $AB$ and $CD$ are parallel. A transversal meets $AB$ at $P$ and $CD$ at $Q$ . Angles $\angle BPQ$ and $\angle DQP$ lie between the parallel lines on the same side of the transversal (co-interior). If $\angle BPQ = 64^\circ$ , what is $\angle DQP$ ?
1. (A)
  $26^\circ$
2. (B)
  $64^\circ$
3. (C)
  $116^\circ$
4. (D)
  $296^\circ$
5.
The interior angles of a pentagon measure $x^\circ$ , $(x + 10)^\circ$ , $(x + 20)^\circ$ , $(x + 30)^\circ$ , and $(x + 40)^\circ$ . What is the measure of the largest angle, in degrees?
1. (A)
  $92$
2. (B)
  $108$
3. (C)
  $118$
4. (D)
  $128$
5. (E)
  $148$