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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.
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Solution
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.
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