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Compute the value of x in each of the ...

Compute the value of `x` in each of the following figures: (ii) (iv)

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From `/_\ABC` we have:
`/_A+/_B+/_C=180@`
⇒`30@+40@ +/_C =180@`
⇒`/_C=110@`⇒`/_ACB=110@`
Also,
`/_ECB+/_ECD=180@` ( linear pair)
⇒`110@+/_ECD=180@`⇒`/_ECD=70@`
Now, in `/_\ECD` ,
∴`/_AED=/_ECD+/_EDC`
⇒`x=70@+50@`⇒`x=120@`
`(iv)`
`/_BAE=/_CDE`(Alternate angles)
⇒'/_CDE=60@(∴/_ECD+/_CDE+/_CED=180@)'
⇒'x=75@'
Sum of the angles of a triangle
⇒'45@+60@+x=180@'
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