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

Answer:

Point C cannot be inside ∠AOB

Step-by-step 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

$30'+30'=60'=1\°$

$70\°=50\°30'+20\°30'\\70\°\neq 71\°'$

therefore

Point C cannot be inside ∠AOB