Question

- If AB II CD, find the value of x.

Answer 1

Answer:

See answer in above picture

Answer 2

Step-by-step explanation:

constration : draw OE from O to E such that OE ll AB & CD

Proof : ABllOE and AO is the transversal

: .<BAO + <AOE = 180°( CO-interior angles )

130°+ <AOE = 180°

<AOE = 180°-130°

= 50°

CDllOE and CO is a transversal

: .<DCO + <COE = 180°( CO-interior angles )

120° + <COE = 180°

<COE = 180°-120°

= 60°

x = <AOE + <COE

= 50° + 60°

= 110°