Question

Consider the figure shown below. Find the value of each variable mentioned in the figure below​

Answer 1

• a = 26, b = 64, c = 42

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The measure of an inscribed angle is half the measure of the intercepted arc:

• a = 52/2 = 26,
• c = 84/2 = 42.

Angles a and b sum to a right angle since inscribed between the tangent and diameter.

Then we have:

• a + b = 90

• 26 + b = 90
• b = 90 - 26
• b = 64