ANGLES AND GEOMETRY PART 2

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AB and CD intersect each other at O. Given ∠EOA = 90°, ∠EOC = x, ∠BOC = y and ∠BOD = 2y + 30. Find the value of x and y and ∠AOD

ANGLES AND GEOMETRY PART 2



  • Since CD is a straight line, therefore the sum of 2y + 30 and y must be 180 degree

Hence,
2y + 30 + y = 180
3y + 30 = 180
3y = 150
  y = 50°


  • Also AB is a straight line therefore the sum of angles EOA, EOC and BOC must be 180 degree.

Hence,
90 + x + y = 180
90 + x + 50 = 180
 x + 140 = 180
x = 40°


Therefore, x = 40° and y = 50°.

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