Answer:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get
[tex]3x+4=72-x\\\\3x+x=72-4\\\\4x=68\\\\\therefore x=\dfrac{68}{4}=17\\\\\therefore x =17[/tex]
The value of 'x' is 17.
