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Quantitative - Mathematics - Solid Geometry:

Lines and Angles

MCQ - 3-11855

Question:

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

line04 -58789708

  1. 15
  2. 30
  3. 45
  4. 30
  5. 135

Correct Answer: A

Explanation:

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).

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131 MCQ for effective preparation of the test of Lines and Angles of Solid Geometry section.

Read the MCQ statement: In the figure, AD and BC are lines intersecting at O. What is the value of a? , keenly and apply the method you have learn through the video lessons for Lines and Angles to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 3-11855.

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Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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