Question

In Fig. 6.16, if x + y =w+z, then prove that AOB is a line. B В 2 A Fig. 6.16​

Answer 1

Answer:

• Given:-X+Y=W+Z
• To Prove:- AOB is a line
• Proof:
• as we know some of all angles around a fixed point is 360°
• ZAOC+ZBOC+<BOD+ZAOD=360°
• -->Y+X+W+Z=360°
• -->X+Y+X+Y=360°(X+Y=W+Z)
• 2(X+Y)=360°
• --->X+Y=180°
• THIS SHOWS THAT IT IS A LINEAR PAIR.
• AND WE KNOW THAT SUM OF ALL ANGLES ON A LINE IS 180°.
• HENCE, PROVED.

Step-by-step explanation:

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