Question

how do you solve this step by step?

Answer 1

ΔIJK ≈ ΔPQR => ∡I = ∡P =>

=> 3X + 4 = 72 - X

3X + X = 72 - 4

4X = 68

X = 68 : 4

X = 17

Answer 2

Answer:

since the triangles are congruent, and you're given the measures of $\angle I \text{and} \angle P$ which are "corresponding part of the congruent triangles" so they must be equal

hence,

$m\angle I = m\angle P \\ \implies 3x+4=72-x \\ \implies 4x=68 \\ \implies x=17°$