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JulsSmile [24]
3 years ago
7

A circle is centered on point B, points A,C and D lie on its circumference. If angle ADC measures 62, what does angle ABC measur

e

Mathematics
2 answers:
mojhsa [17]3 years ago
3 0

Answer:

m\angle ABC=124^o

Step-by-step explanation:

step 1

Find the measure of arc AC

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle ADC=\frac{1}{2}(arc\ AC)

substitute the given value

62^o=\frac{1}{2}(arc\ AC)

arc\ AC=124^o

step 2

Find the measure of angle ABC

we know that

<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

m\angle ABC=arc\ AC ----> by central angle

therefore

m\angle ABC=124^o

VARVARA [1.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

124

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