Question

What is m∠PTS??????????

Answer 1

55

Explanation:

We are given with two lines that intersects each other .

the vertical opposite angles are same.

So we equate the angles and solve for y

`11(y-10)= 4y-5`

`11y-110=4y-5`

Subtract 4y from both sides

`7y-110=-5`

Now we add 110 on both sides

`7y=105`

Now we divide by 7 on both sides

y=15

now we find m∠PTS

m∠PTS=
`11(y-10)`

Plug in 15 for y

m∠PTS=
`11(15-10)=55`

Answer 2

11(y-10) = 4y-5

11y-110 = 4y-5

7y -110 = -5

7y =105

y = 105/7 = 15

PTS = 11(15-10) = 11*5 = 55 degrees