In Fig. 10.139, ABC is an isosceles triangle whose side AC is produced to E . Through C , CD is drawn parallel to BA. The value of x is

Question

Philoid · Accepted Answer

∠B = ∠C (Angles opposite to equal sides are equal)

In ABC,

∠A + ∠B+ ∠C= 180°

∠A = 76°

Now,

∠BAC= ∠ACD (Alternate angles)

∠ACD = 76°

Now,

∠ACD + ∠ECD= 180°

x = 180- 76°

x = 104°