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mathk3
06.04.2020 •
Mathematics
△QRS is inscribed in circle P. The measure of a central angle is twice the measure of an inscribed angle that subtends the same arc.
If m ∠QRS = 48°, find m ∠PSQ.
The angles starting at 2 oclock are Q R S
A. 96
B. 84
C. 42
d. 48
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Ответ:
Given:
△QRS is inscribed in circle P.
The measure of angle QRS is 48°
We need to determine the measure of angle PSQ.
Measure of ∠PSQ:
It is given that the measure of a central angle is twice the measure of an inscribed angle that subtends the same arc.
Using the above property, we have;
Substituting the values, we have;
Multiplying the values, we get;
Thus, the measure of ∠PSQ is 96°
Hence, Option A is the correct answer.
Ответ:
2AX=BD
2(3y-5)=5y
6y-10=5y
add 10 to each side 6y+10-10=5y+10
6y=5y+10
subtract 5y from each side 6y-5y=5y-5y+10
6y-5y=y
y=10