Question

What is LaTeX: m\angle PTQm ∠ P T Q?

line ps intersecting with line qr at point t. angle ptq is x + 28 degrees. angle rts is 2x + 16 degrees.

Group of answer choices

140

40

50

12

Answer 1

Answer:

B. 40

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°