is 怒って (okotte) the common way to say angry in Japanese?
for example, "I am angry!" "Okotte da yo!" "Who is angry?" "Dare ga okotte desu ka?"

side note: I find it very interesting that the kanji had "woman" and "heart" for "angry." Maybe anger is weak, so they have a weak "female" heart?

Question

is 怒って (okotte) the common way to say angry in Japanese? 
for example, "I am angry!" "Okotte da yo!" "Who is angry?" "Dare ga okotte desu ka?"

side note: I find it very interesting that the kanji had "woman" and "heart" for "angry." Maybe anger is weak, so they have a weak "female" heart?

Answer

怒っている = I'm angry
怒った = I got angry. / I am angry
怒る = get angry.

The radical at the top means "guy".
The radical at the bottom means "heart/mind".

Why do you assume that female is weak?

Answer

"I am angry!" "Okotte da yo!" →”おこってるよ！”
"Who is angry?" "Dare ga okotte desu ka?" →”誰がおこっているんですか？”

Answer

you can express your anger a few other ways too, 
for example.
もう、腹が立った　（はらがたった）　or　腹が立っているのよ　（Im angry, Im pissed off)

or 頭にきたよ　（あたまにきた）　that (or, you)　shits me to tears.(makes me angry/upset)
or 最悪！　（さいあく）　said with serious frustration or anger in your voice, it means...　this, or , you, is the worst.

enjoy getting angry.

Answer

that man is a bitch u dont know what he/she's talking.thanks for the lesson kiddo