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Tresset [83]
3 years ago
15

Thee questionn is beloww

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Given:

m\angle ABC=60

To find:

The m\angle ADC.

Solution:

In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

60=2(m\angle ADC)

Divide both sides by 2.

\dfrac{60}{2}=m\angle ADC

30=m\angle ADC

Therefore, m\angle ADC=30.

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