삼각형과 다각형의 각 단원 종합

J.1Find each missing angle.

1. 1
   ? = 
2. 2
   ? = 
3. 3
   ? = 
4. 4
   ? = 

J.2Answer each question.

1. 5
   A triangle's angles measure $x^{\circ }$, $(x+55{)}^{\circ }$, and $(2x+25{)}^{\circ }$. Find $x$.
2. 6
   A triangle's angles measure $(2x+40{)}^{\circ }$, $x^{\circ }$, and $(x+20{)}^{\circ }$. Find $x$.

J.2Answer each question. (continued)

1. 7
   A triangle's angles measure $(2x+25{)}^{\circ }$, $x^{\circ }$, and $(3x+23{)}^{\circ }$. Find $x$.
2. 8
   A triangle's angles measure $(4x+12{)}^{\circ }$, $3x^{\circ }$, and $x^{\circ }$. Find $x$.

J.3All polygons are regular.

1. 9
   Nonagon: exterior angle = 
2. 10
   Exterior $30^{\circ }$: sides = 
3. 11
   Octagon: exterior angle = 
4. 12
   Pentagon: exterior angle = 

J.1Exterior Angle Theorem

1. 1$85^{\circ }$
2. 2$50^{\circ }$
3. 3$35^{\circ }$
4. 4$135^{\circ }$

J.2Triangle Angles with Ratios & Equations

1. 5$x=25$
2. 6$x=30$
3. 7$x=22$
4. 8$x=21$

J.3Exterior Angles of Polygons

1. 9$40^{\circ }$
2. 1012
3. 11$45^{\circ }$
4. 12$72^{\circ }$