Answer:
<h3>B. 40</h3>
Step-by-step explanation:
If line ps intersecting with line qr at point t as shown, then ∠ P T Q = ∠RTS (oppositely directed angle)
Given
PTQ is x + 28
RTS is 2x + 16
Since they are both equal, then x+28 = 2x+16
collect like terms
x-2x = 16-28
-x = -12
multiply both sides by -1
-1(-x) = -1(-12)
x = 12
Since ∠ P T Q = x+28, substitute x = 12 into the function
∠ P T Q = 12+28
∠ P T Q = 40
Hence measure of ∠ P T Q is 40°
