3 years ago

THIS PROBLEM IS WORTH 40 POINTS

Mathematics

1 answer:

eimsori [14]3 years ago

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Answer: The distance circle center to mid-chord will be x/2, half the length of the first chord.

Step-by-step explanation:

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Answer:

$\angle ABC = 122^\circ$

Step-by-step explanation:

Given

$\angle ADC = 61^\circ$

<em>See attachment for circle</em>

Required

Find $\angle ABC$

From the attachment, we can see that:

$\angle ADC$ is at the circumference

$\angle ABC\\$ is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

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Make ABC the subject

$\angle ABC = 2 * \angle ADC$

Substitute: $\angle ADC = 61^\circ$

$\angle ABC = 2 * 61^\circ$

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