There are many words in English that don't have single-word rhymes; it's possible that these are two of them. But that doesn't mean they can't be rhymed:
The hungry napper dreamed of snacks.
He hung green apples up on racks.
Some chiders yelled an angry mock
Until he sang 'green apples rock!'
Please see the related questions below for "What rhymes with hungry?" and "What rhymes with angry?"
There is no one word that rhymes perfectly with "hungry", but please see the related question below for a possible solution.
Hungary (as in the country), Dungaree
Actually, there is no word that rhymes exactly with "hungry."
Gangrene is a close, but not perfect rhyme, for angry.
hungry?
clangy
langrey
Lumpy, bumpy, clumpy, dumpy, frumpy, jumpy
lumpy, jumpy, frumpy, clumpy
There are no words that rhyme with hungry... but a lot of words rhyme with food: mood, dude, screwed, lewd, prude, cooed, sued, etc.
Cross
Ex.
An angry superior = a cross boss
Younger.
hamburger
Loss
glee rhymes with sea and means rejoicing
Mud
No word rhymes with wish and means to leave.
The word "afraid" slant rhymes with the word "away" but means scared.
Rhyme rhymes with dime and mime. Boss rhymes with dross. Good rhymes with should...
There is a word pair which rhymes with an angry employer. The two word phrase would be, cross boss.
Angry
cross boss
cross boss
Floss, boss.
boss
Very unhappy boss
agree, angry, creepy
bombquam
angry glengary nunary
Hungry Nerds
cross bosscross bosscross boss