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In a triangle abc angle C is 3, angle B is 2 (A+B). find three angles |
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Answer» ong>Step-by-step explanation: 7th Maths The Triangle and Its Properties Exterior ANGLE of a Triangle In a ABC , C = 3 B = 2 (... MATHS In a △ABC, ∠C=3∠B=2(∠A+∠B). The three angles will be _________. ANSWER We KNOW that in a △, the sum of all the interior angles is 180 ∘
⇒∠A+∠B+∠C=180 ∘ ........(1) Also GIVEN that, ∠C=3∠B and 3∠B=2∠A+2∠B ∠A= 2 ∠B
Substituting values in (1), we get 2 ∠B
+∠B+3∠B=180 ∘
∴∠B=40 ∘
∠A=20 ∘
∠C=120 |
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