2 years ago

How do you solve this step by step?

Mathematics

2 answers:

SashulF [63]2 years ago

5 0

ΔIJK ≈ ΔPQR => ∡I = ∡P =>

=> 3X + 4 = 72 - X

3X + X = 72 - 4

4X = 68

X = 68 : 4

X = 17

Licemer1 [7]2 years ago

4 0

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,

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

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