please help me.................
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a) x=y ..(1)
x+y+76°=180°.... measure of each tri angle is 180°
so, x+x+76=180°..from (1).
2x=180°-76°
2x=104
x=104/2
x=52°
therefore y= 52°.
b)angle y = angle PQS
angle PQS = angle PRS..(angles in alternate segment)..(1)
so,angle PRS =75°
then , angle PQR = 75°..from (1).
therefore angle y = 75°
angle PQS= 1/2 arc PS.. (inscribed angle theorem.)
so, arc PS= 2 ×angle PQS
So, arc PS= 2 × 75° .
therefore,arc PS =150°
angle x = angle POS
angle POS= arc PS ........(central angle )
so, arc PS= 150°.
therefore, angle POS = 150°.
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Answered by
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hii mate
Step-by-step explanation:
so sorry I don't know
forgive me
please mark me as brainliest
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