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Question
The sum of two angles of a triangle is 150°, and their difference is 30°. Find the angles.
Solution
Sum of two angles of a triangle = 150°
Difference = 30°
Let A and B be the two angles.
Then, ∠A + ∠B = 150°
And ∠A – ∠B = 30°
Adding the above equations, we get
⇒ 2∠A = 180°
⇒ ∠A = 90°
∴ 90° – ∠B = 30°
∠B = 90° – 30° = 60°
Hence, the angles are 90° and 60°.
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