Question

find the vaule of x,y and z in the following figures a​

Answer 1

Answer:

x +y+z +x/2 =360

2x + 2y+2z +x = 360

3x +2y+2z = 360

x = z , y = x/2 ( vertically opposite angles)

3x+ 2(x/2) +2x = 360

3x + x +2x = 360

6x = 360

x = 60

z = 60

5x +2y = 360

300+2y = 360

2y = 60

y = 30

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Answer 2

Step-by-step explanation:

Let us start from X/2 and x

X+X/2=180

TAKING LCM

2X+X/2=180

3X/2=180

X=180×2/3

X=120------>ANS

NOW X/2=120/2=60--------->ANS

NOW X/2+Z=180

60+Z=180

Z=180-60

Z=120------->ANS

Y+Z / Y+X=180

120+Y/120+Y=180

Y = 180-120=60------>ANS

(X=Z;X/2=Y------》 OPPOSITE ANGLES