Question

Determine the measure of angle UVT

Answer 1

`UVT =40`

Explanation:

Required

Solve for UVT

First, calculate UTV

`UTV = 180 - UTB`

`UTV = 180 - 20x`

Next:

`UTV + VUT + UVT = 180` ---- angles in a triangle

So:

`180 - 20x +60+7x+5 = 180`

Collect like terms

`- 20x +7x= 180-180-60-5`

`-13x= -65`

Divide by -13

`x = 5`

`UVT =7x+5`

`UVT =7*5+5`

`UVT =40`