ΔIJK ≅ ΔPQR. If m∠I = 3x+4 and m∠P = 72 - x, then determine the value of x.

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Answer:
x = 17.
Step-by-step explanation:
Since ΔIJK ≅ ΔPQR, then m∠I ≅ m∠P. Therefore:
3x + 4 = 72 - x
Begin solving for x by adding x to both sides:
4x + 4 = 72
Subtract 4 from both sides:
4x = 68
Divide both sides by 4:
x = 17.
ΔIJK ≅ ΔPQR. If m∠I = 3x+4 and m∠P = 72 - x, then determine the value of x.
Answer:
x = 17