Maths-
General
Easy

Question

The values of x y, in the following figure is

  1. 30°,50°    
  2. 40°,60°    
  3. 50°,70°    
  4. 45°,65°    

hintHint:

In this question, we have to find the value of x and y using the figure given. We know that sum of angles formed in a straight line is always 180degree. So, using this formula we can find the required value of x and substitute in other equation formed to find the value of y.

The correct answer is: 40°,60°



    As CD is straight line
    So, x + 20degree + 3x = 180degree           [sum of angles in a straight line is 180degree]
    rightwards double arrow4x = 160degree
    rightwards double arrowx = 40degree
    Also, AB is a straight line
    So, 3x + y = 180degree                   [sum of angles in a straight line is 180degree]
    rightwards double arrow3cross times40degree + y = 180degree
    rightwards double arrow120degree + y = 180degree
    rightwards double arrowy = 60degree

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