College of Admission Tests Multan

Lines, Angles, and Polygons

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 2

In the figure, AD and BC are lines intersecting at O. What is the value of a?

line04 -58789708
  • 15
  • 30
  • 45
  • 60
  • 135

  Show/Hide Explanation 

Correct Answer: A

Equating vertical angles line02 -81469400 in the figure yields y = 2x + 30. Also, equating vertical angles line03 -93304800 yields 5y/2 = 5x + 5a. Multiplying this equation by 2/5 yields y = 2x + 2a. Subtracting this equation from the equation y = 2x + 30 yields 2a = 30. Hence, a = 30/2 = 15, and the answer is (A).