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3 years ago

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

Mathematics

2 answers:

ivann1987 [24]3 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]3 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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