Question

In triangle ABC angle A=x°, angle B=3x°,angle C=y°,if 3y-5x=30° then state the type of triangle

Answer 1

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°

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