Question

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given angles are 56° in the first circle and 65° in the second circle.

Note : O indicates the center of the circle is above it.​

Answer 1

Question 1

• h = 56° as alternate interior angles (the diameter is the transversal)
• f = 90° as opposite to the diameter
• g = 90° - 56° = 34° as complementary angle in right triangle

Question 2

• i = 65° as the same arc is intercepted
• i + j = 90° as opposite to diameter
• j = 90° - i = 90° - 65° = 25°