One of the angle of the triangle is equal to the sum of other two angl

1.	One of the angle of the triangle is equal to the sum of other two angles. If the ratio of other two angles is 4:5.find the angles of the triangle.answer
Answer» LET the Triangle be ABC Given: ∠A= 4x ; ∠B= 56X ; ∠C= ∠A+∠B ∠C= 4x+5x= 9x By Angle Sum PROPERTY ∠A+∠B+∠C= 180° 4x+5x+9x= 180° 18X= 180° X= 180/18= 10° ∵ ∠A= 4x= 4(10)= 40° ∠B= 5x= 5(10)= 50° ∠C= 9x= 9(10)= 90°

One of the angle of the triangle is equal to the sum of other two angles. If the ratio of other two angles is 4:5.find the angles of the triangle.answer

Answer»

LET the Triangle be ABC

Given: ∠A= 4x ; ∠B= 56X ; ∠C= ∠A+∠B

∠C= 4x+5x= 9x

By Angle Sum PROPERTY

∠A+∠B+∠C= 180°

4x+5x+9x= 180°

18X= 180°

X= 180/18= 10°

∵ ∠A= 4x= 4(10)= 40°

∠B= 5x= 5(10)= 50°

∠C= 9x= 9(10)= 90°

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One of the angle of the triangle is equal to the sum of other two angles. If the ratio of other two angles is 4:5.find the angles of the triangle.answer

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