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
