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Mathematics

1 answer:

BabaBlast [244]2 years ago

3 0

Answer:

$\boxed{$

Step-by-step explanation:

A) If AB is a diameter, Then ACB is a 90 degrees angle because In a semi-circle (AB is a diameter which divides the circle into 2 equal parts), the angle opposite to the diameter is of 90 degrees.

So, <ACB = 90 degrees

Then <a = 180-90-28

=> <a = 62 degrees

B) The opposite interior angles of a quadrilateral inscribed in a circle add up to 180 degrees.

So,

=> <a + <b = 180

=> <b = 180-62

=> <b = 118 degrees

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