In Fig. 8.35, ∠ AOC and ∠ BOC form a linear pair. If a -2 b = 30°, find a and b .

Question

In Fig. 8.35, &#x2220; AOC and &#x2220; BOC form a linear pair. If a -2 b = 30&#xB0;, find a and b .

Philoid · Accepted Answer

Given,

If (a – 2b) = 30^o

∠AOC = a

∠BOC = b

Therefore,

a + b = 180^o (i)

Given,

(a – 2b) = 30^o (ii)

Now,

Subtracting (i) and (ii), we get

a + b – a + 2b = 180^o – 30^o

b = 50^o

Hence,

(a – 2b) = 30^o

a – 2 (50) = 30^o

a = 130^o