Write a paragraph proof for the following. ​Given:
mABC114
mDHE25
mEHF41
ABC and GHF are supplementary.
​Prove:
DHFGHF
By the Angle Addition​ Postulate, mDHF
nothing. By the definition of supplementary​ angles, DHF is supplementary to
▼
angle ABC
angle DHE
angle DHG
angle EHF
because the sum of their measures is
nothing. Since
▼
angle GHF
angle EHF
angle DHE
angle DHG
is also supplementary to ​ABC, DHFGHF by the Congruent
▼
Complements
Supplements
Theorem.
​(Do not include the degree symbol in your​ answer.)