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Q.

The angles of a triangle are x, y, and Question Image. The difference between the two angles x and y is Question Image.


Find x and y


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept: With this approach, the sum of all the angles of the triangle =180 degree, so we  substitute the values ​​for the angles of the triangle to get the equations for x and y, and get the equation given as the difference between x and y. Given, solve them with the imputation method to get the desired result.
Here, the angles of the triangles x, y, and 40 are given. Since it is a triangle, you can see that the sum of the angles of the triangles is always equal to 180 °. Therefore, Question ImageLet's make it easy
Question Image………………. (1)
The difference between the two angles x and y is assumed to be 30.  The equation is:
Question Image…………. (2)
If we add equations (1) and (2) here, we get:
Question ImageTo simplify,
Question ImageDividing the above formula by 2 gives:
Question ImageSimplify and we get again
 Question ImageIf we insert Question Imageinto equation (1) , we get:
Question ImageIf you pull both sides by 85, you get:
Question ImageTo simplify,
Question ImageTherefore, the x and y values ​​areQuestion Imageand Question Image, respectively.
Hence, the correct answer is option 1) Question Image 
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