Question

In the given figure if a = b = c then angle AOC~=

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Answer 1

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180∘ (linear pair.)

According to the question,

x+y+w+z=360∘ ∣ Angles around a point.

(x+y)+(w+z)=360∘

(x+y)+(x+y)=360∘ ∣ Given x+y=w+z

2(x+y)=360∘

(x+y)=180∘

Hence, x+y makes a linear pair. 

Therefore, AOB is a straight line.

Answer 2

Step-by-step explanation:

a=b=c

aob+boc=aoc

cod+boc=bod

AOC~=BOD