In Fig. 9.47, for which value of x is l 1 || l 2 ?

Question

Philoid · Accepted Answer

Since,

l₁‖ l₂

And,

AB cuts them so,

∠DBA = ∠BAE = 78^o

∠BAC + 35^o = 78^o

∠BAC = 43^o

In

∠BAC + ∠ABC + ∠ACB = 180^o

43^o + x + 90^o = 180^o

x = 47^o