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1) Sum of two complimentary angle is 180°
let the angle be X then if they are in the ratio 2:7
their sum will be
2x + 7x= 180
9x= 180
x=20
so the angles are
2×20 = 40
2×70 = 140
2) (i) angle ROS
= angle POR+angle ROS+angleSOQ=180°
(linear pair)
= 65+angle ROS+14=180
angle ROS=180-74
= 106
(ii) angle POS = angle POR+angle ROS
= 65+106
= 171
3) Let the share be 1
P get 2/5
Q get 3/10
making the denominator same
P gets 4/10
Q gets 3/10
that mean
P's share = 90,000 × 4/10 = 32000
Q's share = 90,000 × 3/10 = 27000
then R's share is
90,000-32000-27000 = 31000
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