Question

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.

Answer 1

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

∴ x + y + 40° = 180°

Since, the sum of all the angles of a triangle is 180°

⇒ x + y = 140°  ......(i)

Also, x – y = 30°  ......(ii)

On adding (i) and (ii), we get

2x = 170°

⇒ x = 85°

On putting x = 85° in (i), we get

85° + y = 140°

⇒ y = 55°

Hence, the required values of x and y are 85° and 55°, respectively.