31-36.

Mathematics
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Apr 29th, 2015

31)  x = 90 , angle in semicircle

  y = 180 - 90 - 40 = 50

32) y = 20 , same segments

x = 1/2(140) = 70

33)   x + 20 = 2x - 5 , same segments

x = 15

y + 27 = 1/2(4y + 10)

2y + 54 = 4y + 10

y = 22

34)  x + 75 = 180 , opp. angles of cyclic quadrilateral

 x = 105

y + 95 = 180

y = 85

35)  117 + x = 180

x = 63

83 + 7y - 1 = 180

y = 98/7 = 14

36)  arcleft = 360 - (88 + 168 + 56) = 48

 8y = 1/2(88 + 48)

y = 136/16 = 17/2

13x = 1/2(56 + 48)

x = 104/26 = 4

Apr 29th, 2015

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