Question

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

Explanation:

Step1: Set up equation using vertical - angle property

Vertical angles are equal. So $x + 28=2x + 16$.

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 $\angle PTR$

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

Answer:

$40^{\circ}$