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AlladinOne [14]
3 years ago
11

In the diagram,the measure of angle ACB is 25 degrees. what is the measure of angle AOB?

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

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