Question

X=2Y ,3Y=Z,if x,y,z are three angles of triangle .Find then

Answer 1

Answer:

X=60 Y=30 Z=90

Step-by-step explanation:

2Y+Y+3Y=180°

6Y=180°

Y=30°

so, 2Y=60°=X

3Y=90°=Z

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Answer 2

Answer:

X = 60°, Y=30°, Z=90°

Step-by-step explanation:

We know that sum of angles of a triangle is 180°

X=2Y

=>X/2=Y____[1]

3Y = Z____[2]

Substituting [1] in [2] we get

3X/2 = Z____[3]

X+Y+Z = 180 (angle sum property of a triangle)

X+X/2+3X/2 = 180 (From [1] and [3])

(2X+X+3X)/2 = 180

6X = 360

X = 60°

X/2 = Y (From [1])

=>Y=60/2 = 30°

Z=3X/2 (From [3])

=>Z=(3*60)/2 = 180/2 = 90°

Therefore X = 60°,Y = 30°,Z = 90°