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Yakvenalex [24]
2 years ago
8

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

Mathematics
2 answers:
ivann1987 [24]2 years ago
7 0

Answer:

<u>Question 1</u>

  • 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

<u>Question 2</u>

  • i = 65° as the same arc is intercepted
  • i + j = 90° as opposite to diameter
  • j = 90° - i = 90° - 65° = 25°
Arisa [49]2 years ago
4 0

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 )

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