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meree meree
  • 29-07-2016
  • Mathematics
Answered

Find the sum of x and y.


A.14

B.30

C.50

D.104

Find the sum of x and y. A.14 B.30 C.50 D.104 class=

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 30-07-2016

From the diagram, 6y = 90          [right angle]
y = 90/6 = 15

Also, 5y + 3x + 6y + 90 = 360      [sum of interior angle of a quadrilateral is 360]
5(15) + 3x + 6(15) + 90 = 360
75 + 3x + 90 + 90 = 360
3x = 360 - 255 = 105
x = 105/3 = 35

Therefore, x + y = 35 + 15 = 50.

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