Q10 of 115 Page 8

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

∠POQ + ∠QOS = 180^o (Linear pair)

∠POQ + ∠QOR + ∠SOR = 180^o

60^o + 4x + 40^o = 180^o

4x = 80^o

x = 20^o

In Fig. 8.37, determine the value of x.

In Fig. 8.38, AOC 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.

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