3 years ago

Can you plz answer 28

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer:

265

Step-by-step explanation:

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Chord AB subtends two arcs with measures in the ratio of 1:5. Line l is tangent to a circle at point A. Find the measure of the

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Step-by-step explanation:

If chord AB subtends two arcs with measures in the ratio of 1:5, then the measure of minor arc is x and the measure of major arc is 5x. Thus,

$x+5x=360^{\circ}\\ \\6x=360^{\circ}\\ \\x=60^{\circ}.$

Thus, the measure of the angle AOB is 60°. Consider isosceles triangle AOB (because AO=BO=radius of the circle). The angles adjacent to the base AB are congruent, thus

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Since line CD is tangent to the circle,

$\angle CAO=90^{\circ}.$

Hence,

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