Question

In the given figure, AB|| CD. Find the values of x,y and z.​

Answer 1

Answer:

For understanding

I am writing angle sign as # ok.

Step-by-step explanation:

#y = 75°

#x + #y = 180° ( Angles on a straight line)

#x + 75° = 180°

#x = 180° - 75°

#x = 105°

#z + #y = 125°

#z + 75° = 125°

#z = 125° - 75°

#z = 50°

Therefore #x = 105°

#y = 75°

#z = 50°

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Answer 2

Answer:

AB||CD(given)

zaef=75°(given)

zegd=125°(given)

zaef=zefg(by A.I.A)

so,

zefg=75°

y=75°

x+y=180°(linear pair)

x+75=180

x=180°-75°=105°

z+y=125°(all interior angle=all exterior angle)

z+75°=125°

z=125°-75°=50°

then,

x=105°

y=70°

z=75°

Step-by-step explanation:

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