In Fig. 9.52, the value of x is

Question

Philoid · Accepted Answer

In

∠A + ∠ABD + ∠BDA = 180^o

∠ABD = 100^o

In

∠EBC + ∠ECB + ∠CEB = 180^o

-100^o + 40^o + ∠CEB = 0⁰

∠CEB = 60^o

∠CEB + ∠CED = 180^o (Linear pair)

60^o + x = 180^o

x = 120^o