Question

In triangle ABC,angle A=x, angle B=3x-2, angleC=y. Also, angleC - angleB = 9. Find all the three angles.

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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Answer 2

Step-by-step explanation:

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