Ray HX is an angle bisector of angle THV, m angle THX = (6x+5) degrees

and m angle XHV = (8x-15) degrees.

What is m angle THX

M∠THX = 65°.

Since HX is an angle bisector, m∠THX = m∠XHV.

6x+5=8x-15

We can't have a variable on both sides of the equation, so we cancel 6x by subtracting it from both sides:

6x+5-6x=8x-15-6x

5=2x-15

Cancel 15 by adding to both sides:

5+15=2x-15+15

20=2x

Cancel 2 by dividing both sides by 2:

20/2 = 2x/2

10=x

Substitute this into the expression for ∠THX:

6x+5=6 (10) + 5=65