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OpenStudy (anonymous):
Quadrilateral PQRS is inscribed in circle A. Which statement is necessarily true?
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OpenStudy (anonymous):
What are the statements?
OpenStudy (anonymous):
OpenStudy (anonymous):
answers
m R = m S
m R + m S = 180°
mR = mS
m R + m S = m P + m Q
OpenStudy (anonymous):
@vanessaeasler352
OpenStudy (welshfella):
hint opposite angles of a quadrilateral inscribed in a circle add up to 180 degrees
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OpenStudy (anonymous):
I can't see the picture but the opposite angles of PQRS add up to 180
OpenStudy (anonymous):
So if R and S are on opposite corners then adding them together would equal 180
OpenStudy (welshfella):
Yes but r and s are not on opposite sides
But you can work the measure of angles r an s
OpenStudy (welshfella):
* work out
OpenStudy (welshfella):
R is opposite p and s is opposite q
And p and q both equal 92 degrees
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OpenStudy (welshfella):
I would draw it for you but I can't on my iPad
OpenStudy (welshfella):
R = 180 -P
s = 180 - q
OpenStudy (welshfella):
So if angles p and q are equal what does that say about r and s?
OpenStudy (welshfella):
I've more or less given you the answer....
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