Math, asked by nagunayak888, 1 year ago

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Answered by princedevil87
2
BOC =120'
POQ=90'
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nagunayak888: with explanation
adityathakre77: but how 90'
princedevil87: listen
nagunayak888: with explation how 90
princedevil87: AOC=60' THEREFORE BOC=180 - 60=120'
princedevil87: POC IS HALF OF BOC =60 AND
princedevil87: COQ IS HALF OF AOC =30'
princedevil87: POC +COQ =POQ =90-
Answered by sparshvashishta333
1

<AOC = 60° ---------- 1

& OQ is bisector of <AOC

=> <AOQ = <QOC = <AOC/2 = 30° -------- 2

NOW

<AOB is a straight angle

=> <AOB = 180° ---------- 3

(I) <BOC = <AOB - <AOC

= 180° - 60° (from 3 & 1)

=> <BOC = 120°

NOW

OP is the bisector of <BOC

=> <BOP = <POC = <BOC/2 = 60° ---------- 4

(ii) <POQ = <AOB - <BOP - <AOQ

= 180° - 60° - 30° (from 3, 4 & 2)

=> <POQ = 90°




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