In a triangle ABC, angle A - angle B = 15°, angleB-angleC = 30°. Find the measure of each angle of the triangle
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Answer:
In the △ABC according to the given condition we have ∠B−∠C=30
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⇒∠B=30
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+∠C
∠A−∠B=15
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⇒∠A=15
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+∠B=45
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+∠C
Now, using the property that sum of all the interior angle of a triangle is 180
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we get
∠A+∠B+∠C=180
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⇒45
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+∠C+30
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+∠C+∠C=180
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⇒3∠C=105
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⇒∠C=35
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∴∠A=80
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,∠B=65
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,∠C=35
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