Question

In the given figure, the value of x is :
(a) 2
(b) 8
(c) 4
(d) 12​

Answer 1

$\huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}$

We know the exterior angle of the triangle is equal to the sum of interior opposite angles.

Applying the same in △ABC

⇒∠ACD=∠ABC+∠BAC

⇒∠ACD=20∘+30∘

⇒∠ACD=50∘

Applying the same in △ECD

⇒∠AED=∠ACD+∠CDE

⇒x=50∘+50∘

⇒x=100∘