Question

Q.20
In figure below, if x - y = 40°, find x and y.

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Answer 1

Answer:

Given, x,y and 40 are the angles of a triangle.

Therefore, x+y+40=180

x+y=140

The difference between the two angles x and y is 30.

Therefore, x−y=30 ....(2)

Add equations (1) and (2), we get

2x=170

⇒x=85

Substitute this value n equation (2), we get

85−y=30

⇒y=85−30

⇒y=55

Therefore, angles of a triangle are x=85, y=55 and 40.