Question

What does x equal? Please help. No trolls

Answer 1

The value of 'x' is 17.

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

`3x+4=72-x\\\\3x+x=72-4\\\\4x=68\\\\\therefore x=(68)/(4)=17\\\\\therefore x =17`

The value of 'x' is 17.