Question

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

Answer 1

Answer:

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°

Answer 2

Step-by-step explanation:

here's the solution :-

1.) =》f = 90°

( because angle made by diameter on circumference of the circle measures 90° )

2.) =》here,

g + f + 56° = 180°

( because the sum of all interior angles of the triangle measures 180° )

=》g + 90° + 56° = 180°

=》g + 146° = 180°

=》g = 180° - 146°

=》g = 34°

3.) h = 56°

( since, they form alternate interior pair which are equal )