Answer:
[tex]UVT =40[/tex]
Step-by-step explanation:
Required
Solve for UVT
First, calculate UTV
[tex]UTV = 180 - UTB[/tex]
[tex]UTV = 180 - 20x[/tex]
Next:
[tex]UTV + VUT + UVT = 180[/tex] ---- angles in a triangle
So:
[tex]180 - 20x +60+7x+5 = 180[/tex]
Collect like terms
[tex]- 20x +7x= 180-180-60-5[/tex]
[tex]-13x= -65[/tex]
Divide by -13
[tex]x = 5[/tex]
[tex]UVT =7x+5[/tex]
[tex]UVT =7*5+5[/tex]
[tex]UVT =40[/tex]
