in figure if X + Y is equal to w + Z then prove that A or B is a line
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8
Answer:
Step-by-step explanation:
x+y=180 (linear pair)
w+z=180 (linear pair)
x+y make a straight angle,i.e., 180
so, ab is a straight line
Answered by
5
☺ Hello mate__ ❤
◾◾here is your answer...
Given: x+y=w+z (1)
To prove: AOB is a line
Proof: x+y+w+z=360° (Sum of all angles around point=360°)
Putting (1) in the above equation, we get
x+y+x+y=360°
⇒2x+2y=360°
⇒x+y=360°/2=180°
Therefore, x and y form a linear pair
Hence, AOB is a straight line.
I hope, this will help you.
Thank you______❤
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