Question

Let m∠COB = 50°30’, m∠AOB = 70° and m∠AOC = 20°30’. Could point C be in the interior of ∠AOB? Why?

Answer 1

Point C cannot be inside ∠AOB

Explanation:

we know that

If point C is in the interior of ∠AOB

then

m∠AOB=m∠AOC+m∠COB -----> by addition theorem postulate

Verify

Substitute the values

Remember that

1 degree is equal to 60 minutes

so

`30'+30'=60'=1\°`

`70\°=50\°30'+20\°30'\\70\°\\eq 71\°'`

therefore

Point C cannot be inside ∠AOB