Q40 of 54 Page 77

The angles of a triangle are x, y and 40. The difference between the two angles x and y is 30. Find x and y.

Given – :

x – y = 30


or, x = y + 30 ……(1)


x + y + 40 = 180 (since sum of angles of a triangle = 180) (Angle sum property)


x + y = 140 ……(2)


Put value of x from (1)


y + 30 + y = 140


2y = 140 – 30



y = 55


put y = 55 in (1)


x = 55 + 30


∴ x = 85


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