Question

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

Answer 1

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

Answer:

x = 17

Answer 2

Hello!

Answer:

x = 17.

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.