During a field trip, 60 students are put into equal-sized groups. During a field trip, 60 students are put into equal-sized grou
1 answer:
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Answer:
30°
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,
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
Since line CD is tangent to the circle,
Hence,
For this case we can use the law of the sine to solve the problem.
We have then:
From here, we clear the value of x.
We have then:
Rewriting we have:
Answer:
The angle R is given by:
x = 68 degrees
option B
We have then:
From here, we clear the value of x.
We have then:
Rewriting we have:
Answer:
The angle R is given by:
x = 68 degrees
option B