Math, asked by swainnishant1, 1 year ago

ABCD is a parallelogram.find the value of x,y and z

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Answered by pihuuuu
165
hey is your answer mate!!♢

100+x =180 (linear pair angles)
x =180-100
x = 80

x+y+30 = 180
80+y+30= 180
110+y=180
y=180-110
y=70

angle z=30 (alternate interior angles)




hope it helps u !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answered by PShah066
27

Answer :

The final answer is ;

∠x = 80°

∠y = 70°

∠z = 30°

Step-by-step explanation :

=> 100° + x = 180° (Linear Pair)

=> x = 180° - 100°

=> x = 80°

=> x + y + 30° = 180° (Angle Sum Property)

=> 80° + y + 30° = 180°

=> 110° + y = 180°

=> y = 180° - 110°

=> y = 70°

=> z = 30° (Alternate Interior Angles)

Therefore ;

∠x = 80°,

∠y = 70°,

∠z = 30°.

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Hope it helps :)

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