The measure of angle m∠PTR in trhe image attached below is calculated as 130°.
How to find the measure of the angle?
To find the measure of angle PTR, let's find the value of x first as follows:
x + 28 = 2x + 6 [based on the vertical angles theorem]
Solve for x:
x - 2x = -28 + 6 [subtraction property of equality]
-x = -22
Divide both sides by -1:
x = 22
m∠PTQ + m∠PTR = 180 degrees [linear pair theorem]
Substitute:
x + 28 + m∠PTR = 180
Plug in the value of x:
22 + 28 + m∠PTR = 180
50 + m∠PTR = 180
m∠PTR = 180 - 50
m∠PTR = 130°