2 years ago

Find the measure of c.

Mathematics

2 answers:

dimaraw [331]2 years ago

5 0

The answer is C is equal to 140

kobusy [5.1K]2 years ago

4 0

Answer:

140°

Step-by-step explanation:

The circle has a central angle of 80. This means that the arc it intercepts is also 80°. Therefore, the rest of the circle not intercepted by the arc is 360-80=280°

Remember that inscribed angles have one-half of the arc-length it intercepts. We can see that Angle C intercepts the entire circle except for the arc intercepted by Angle O. Therefore, the arc intercepted by Angle C is 280°. This means that Angle C is the half of 280, or 140°.

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