Question

in this figure find angle x if AB is parallel to CD​

Answer 1

Here’s d solution and answer please mark me as the brainliest answer

Answer 2

The value of $x$ is $30\ degree$

Step-by-step explanation:

From figure,

$AB\parallel CD$

So, $\angle DCF=\angle AFC$

∴ $\angle AFC=110\ degree$ (∵ $\angle DCF=110\ degree$)

∴ $\angle AFE=180-\angle AFC$

⇒$\angle AFE=180-110=70\ degree$

And,

$\angle EAF=180-\angle BAE$

⇒$\angle EAF=180-100=80\ degree$

From $\triangle AEF$,

$\angle EAF+\angle AFE+\angle AEF=180$

⇒$80+70+\angle AEF=180$

⇒$\angle AEF=180-80-70$

∴ $\angle AEF=x= 30\ degree$

So, The value of $x$ is $30\ degree$