In Fig. 8.42, a is greater than b by one third of a right angle. Find the values of a and b.

Question

In Fig. 8.42, a is greater than b by one third of a right angle. Find the values of a and b .

Philoid · Accepted Answer

a +b = 180^o (Linear pair)

a =180^o - b (i)

Now, given that

a = b + * 90^o

a = b + 30^o (ii)

a – b = 30^o

Equating (i) and (ii), we get

180^o – b = b + 30^o

150^o = 2b

b = 75^o

Hence, a = 180^o – b

= 105^o