The given interior angles at vertex A , B and C are respectively.
At each vertex each interior angle forms a straight angle with exterior angle.
\So, interior and exterior angles are supplementary angles.
\At vertex A:
\ (Angles are supplementary)
(Interior angle at A is
)
(Subtract
from each side)
Apply commutative propetry of addition: .
\ \
(Apply additive inverse property:
) \ \
(Apply additive inverse property:
)
(Subtract:
)
At vertex B:
\ (Angles are supplementary)
(Interior angle at A is
)
(Subtract
from each side)
Apply commutative propetry of addition: .
(Apply additive inverse property:
)
(Apply additive identity property) \ \
(Subtract:
)
At vertex C:
\ (Angles are supplementary)
(Interior angle at A is
)
(Subtract
from each side)
Apply commutative property of addition:.
(Apply additive inverse property:
)
(Apply additive identity property)
(Subtract:
)
The exterior angles at vertex A , B and C are respectively.