Chapter 2.2, Problem 26PSC

a)

To determine

To Find: Minimum numbers of pairs of complementary angles.

Answer to Problem 26PSC

0

Explanation of Solution

Given information: ABC is straight line, BA, BC, BD, BE and BF are rays.

  

However, they will be no pair of complementary angles if F, E, D coincide and $\angle FBA$ or $\angle FBC$ is acute

b)

To determine

To Find: Maximum numbers of pairs of complementary angles.

1

Explanation of Solution

Given information: ABC is straight line, BA, BC, BD, BE and BF are rays.

  

Complementary angles may be $\angle ABF\&\angle FBE,\angle FBE\&\angle EBD,\angle EDB\&\angle DBC,\angle ABF\&\angle DBC,\angle ABF\&\angle EBD,\angle FBE\&\angle DBC.$

c)

To determine

To Find: Minimum numbers of pairs of supplementary angles.

Answer to Problem 26PSC

3

Explanation of Solution

Given information: ABC is straight line, BA, BC, BD, BE and BF are rays.

  

Angles are $\angle FBC$ however if F, E and D coincide, then they will be only one pairs.

d)

To determine

To Find: Maximum numbers of pairs of supplementary angles.

Answer to Problem 26PSC

1

Explanation of Solution

Given information: ABC is straight line, BA, BC, BD, BE and BF are rays.

  

Angles are $\angle FBC$ however if F, E and D coincide, then they will be only one pairs