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In a triangle the largest angle is 5° more than 4 times the smallest. The 3rd angle is twice the smallest angle. Find the smallest angle? |
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Answer» est ANGLE = 25° ✬Step-by-step explanation:Given:Largest angle is 5° more than 4 times the smallest.Third angle is twice the smallest angle.To FIND:What is the smallest angle ?Solution: Let the smallest angle be x°. Therefore,➟ Largest angle of ∆ = 5 more than 4x➟ Largest angle = (4x + 5)°➟ Third angle = 2 times of x = 2x°Here we gotFirst angle = x°Second angle = (4x + 5)°Third angle = 2x°As we know that★ Sum of all ANGLES of ∆ = 180° ★ x° + 4x + 5 + 2x° = 180° 5x° + 2x° = 180° – 5° 7x° = 175° x° = 175°/7° x° = 25°So angles of triangle areSmallest angle = 25°Largest angle = 4 × 25 + 5 = 105°Second angle = 2 × 25 = 50° |
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