1. Angles that have a sum of 90°
Angles that share a side.
Two adjacent angles whose non-common sides
form a line.
Angles whose sides form two pairs of opposite rays.

2. 52° ° ∠ABD ∠BDC
complementary
52° ° ∠ABD ∠BDE
supplementary
∠CDB ∠EDB
adjacent

3. 90° m∠2
90° ° °
180° °
180° ° °

4. Complementary: ∠DEF & ∠B
Supplementary: ∠FEG & ∠B
Adjacent: ∠DEF & ∠FEG
m∠1 + m∠2 = 90°
m∠2 = 90° - m∠1
m∠2 = 90° - 73°
m∠2 = 17°
m∠3 + m∠4 = 180°
m∠3 = 180° - m∠4
m∠3 = 180° - 37°
m∠3 = 143°

5. 180°
180°
3x x °
7x °
7x ° x 25
3x (25) °
4x (25) °
83° °

6. m∠BCA + m∠DCA = 180°
5x x + 3 = 180°
11x + 4 = 180°
11x = 176°
x = 16
m∠BCA = 5x + 1
m∠BCA = 5(16) + 1
m∠BCA = 81°
m∠DCA = 6x + 3
m∠DCA = 6(16) + 3
m∠DCA = 99°

7. intersecting lines
adjacent
∠ ∠3
opposite rays
∠ ∠ ∠ ∠3

8. Linear Pairs: None
Vertical Angles: ∠1 & ∠4, ∠2 & ∠5, ∠3 & ∠6

9. 4x°
supplementary
x° x° °
5x° °
x °
36°
4(36) °

10. m∠1 = x° and m∠2 = 3x°
m∠1 + m∠2 = 180°
x + 3x = 180°
4x = 180°
x = 45
m∠1 = x°
m∠ = 45°
m∠2 = 3x°
m∠2 = 3(45)
m∠2 = 135°

11. coplanar
collinear
intersect
adjacent
straight angle
interior