In ΔHIJ, \text{m}\angle H = (4x+1)^{\circ}m∠H=(4x+1) ∘ , \text{m}\angle I = (2x-6)^{\circ}m∠I=(2x−6) ∘ , and \text{m}\angle J = (6x-7)^{\circ}m∠J=(6x−7) ∘ . Find \text{m}\angle J. M∠J.

Given:

In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .

To find:

The m∠J.

Solution:

According to  the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In ΔHIJ,

      [Angle sum property]

Add 12 on both sides.

Divide both sides by 12.

Now,

Therefore, the measure of angle J is 89 degrees.