Everything Maths Grade 12

CHAPTER 9. GEOMETRY 9.2

Exercise 9 - 2

Find the angles (a to f ) indicated in each diagram:

� �

� �

�

�

J

H K

J

J

J

J

J

H

H

H

H

H

K

K

K

K

K

O

O

O

O

O

O

a

b c

d

e f

45 ◦

20 ◦

100 ◦

30 ◦

120 ◦

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   


2. 
   
   
   
   5. 
      
      
      
      6. 
         
      
      
      
      
   
   
   
   

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(1.) 021q (2.) 021r (3.) 021s (4.) 021t (5.) 021u (6.) 021v

Theorem 5. The angles subtendedby a chord at the circumference of a circle are equal, if the angles
are on the same side ofthe chord.

Proof:

O�

A

B

P

Q