Question

In the given figure

Answer 1

As a-2b=30

so, a=30-2b ------1

From fig. a+b= 180

Substituting value of a from 1,

30+2b+b=180

3b=180-30

3b=150

b=50

Now, a+b=180

So, a+50=180

a= 130.

Hence, a=130 and b=50.

Answer 2

as two angles AOC and BOC are in linear pair

a+b=180_____(1)

a-2b=30_____(2)

(1)-(2)__a+b-(a-2b)=180-30

a+b-a+2b=150

3b=150

b=150/3

b=50

substitute in (2)

a-2b=30

a-2(50)=30

a-100=30

a=130

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