1 Answer

Unfrev · Answer 1 · 2021-07-18T11:52:57+0000

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.

$(60)/(2)=m\angle ADC$

$30=m\angle ADC$

Therefore,
$m\angle ADC=30$ .

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