Question

∠AOC and ∠BOD are vertically opposite angles. If ∠AOC = a ± 20, ∠BOD = 2a - 50 and AOB is a line , then find ∠AOD.

Answer 1

Answer:

230°-2a

Step-by-step explanation:

angle AOC + angle BOD + angle DOC

let angle DOC=x

a+20+2a-50+x=180

3a-30+x=180

3a+x=210

x=210-3a

now,angle AOD=angle AOC+ angle DOC

=a+20+210-3a

=230-2a