Q12 of 115 Page 8

Given ∠POR = 3x and ∠QOR = 2x+10, find the value of x for which POQ will be a line.

∠QOR + ∠POR = 180^o(Linear pair)

2x + 10^o + 3x = 180^o

5x = 170^o

x = 34^o

In Fig. 8.39, POS is a line, find x.

In Fig. 8.40, ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.

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

What value of y would make AOB a line in Fig. 8.43, if ∠AOC= 4y and ∠BOC =(6y+30)