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Maths-

General

Easy

Question

The values of x y, in the following figure is

30°,50°
40°,60°
50°,70°
45°,65°

hint Hint:

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 180 $degree$ . 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 + 20 $degree$ + 3x = 180 $degree$ [sum of angles in a straight line is 180 $degree$ ]
$rightwards double arrow$ 4x = 160 $degree$
$rightwards double arrow$ x = 40 $degree$
Also, AB is a straight line
So, 3x + y = 180 $degree$ [sum of angles in a straight line is 180 $degree$ ]
$rightwards double arrow$ 3 $cross times$ 40 $degree$ + y = 180 $degree$
$rightwards double arrow$ 120 $degree$ + y = 180 $degree$
$rightwards double arrow$ y = 60 $degree$

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