Question

If in a triangle ABC ,angle A=9x,angle B=3x-6 and angle C=11x+2,then the triangle ABC is

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Answer 1

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▪️In a triangle ABC :

In a triangle ABC :angle A + angle B + angle C = 180

In a triangle ABC :angle A + angle B + angle C = 180--------------(angle sum property of triangle)

▪️angle C - angle B = 9

▪️y - (3x-2) = 9

▪️y = 9+(3x-2)

▪️y = 7+3x

▪️x + (3x-2) + y = 180

▪️x + (3x-2) + (7+3x) = 180

▪️x + 3x + 3x -2+7 = 180

▪️7x = 175

▪️x = 25°

▪️y = 7 + 3×25

▪️y = 82°

▪️The respective angles of the triangle ABC are ;

▪️Angle A = x = 25°

▪️Angle B = 3x-2 = 73°

▪️Angle C = y = 82°

Hopes it help you✌️✌️

Answer 2

The measures of the angles of a triangle are represented by 5x–7, 7x+6, and. 4x– 11. Classify this ... ABC, AB BC. ≅ . If AB = 5x+10, BC = 3x+40, and AC = 2x+30, ... In triangle ABC, m<A = 9x, m<B = 3x-6, and m<C = 11x+2, show that triangle. ABC is a right ... side of the triangle. 17. If in ΔRST, m<R = 71 and m<S = 37, then: .