Question

~1 - 7: exit ticket
what is the m∠ptq?
(x + 28)°
(2x + 16)°
50°
12°
40°
140°

Explanation:

Step1: Set up the equation

Since $\angle PTQ$ and $\angle RTS$ are vertical - angles, they are equal. So we set up the equation $x + 28=2x + 16$.

Step2: Solve for x

Subtract $x$ from both sides: $28=x + 16$. Then subtract 16 from both sides: $x=28 - 16=12$.

Step3: Find the measure of $\angle PTQ$

Substitute $x = 12$ into the expression for $\angle PTQ$ which is $x + 28$. So $m\angle PTQ=12+28 = 40^{\circ}$.

Answer:

$40^{\circ}$