Question

What is m∠PTQ? a. 12 b. 40 c. 50 d. 140

HELP!!!

Answer 1

B. 40°

Explanation:

m<PTQ = (x + 28)°

m<RTS = (2x + 16)°

Angle PTQ and angle RTS are vertically opposite angles, therefore, m<PTQ = m<RTS

`x + 28 = 2x + 16`

Solve to find the value of x

`x + 28 - 2x = 2x + 16 - 2x` (subtracting 2x from each side)

`-x + 28 = 16`

`-x + 28 - 28 = 16 - 28` (subtracting 28 from each side)

`-x = -12`

`x = 12` (dividing each side by -1)

Find angle PTQ:

m<PTQ = (x + 28)°

Plug in the value of x

m<PTQ = 12 + 28 = 40°