In Fig. 9.45, if AB ⊥ BC , then x =

Question

In Fig. 9.45, if AB &#x22A5; BC , then x =

Philoid · Accepted Answer

Given,

AB is perpendicular to BC so ∠B = 90^o

∠CED = 32^o (Vertically opposite angles)

In

∠BDE + ∠BED + ∠DBE = 180^o

x + 14^o + 32^o + x + 90^o = 180^o

2x = 44^o

x = 22^o