I must assume that your graph is that of a straight line, and that the end points of the line are P and B, and (finally) that T is between P and B. If these assumptions are correct, then the length of the line segment PB connecting points P and B is 15 + 10, or 25.
<em>blue</em>....... white....... <em>blue</em>....... <u>yellow</u>
red ........<em>green</em> .......red...........white
white........<u>yellow.</u>......<em>blue</em>.........<em>green</em>
<em /><em>blue</em><em> .........green ...... </em>red ........<u>.yellow</u>
It is a rule that alternate angles are equal, so using this fact, we can say that:
3x + 17 = x + 53
- x
2x + 17 = 53
- 17
2x = 36
÷ 2
x = 18
Which means that your answer would be B. x = 18
I hope this helps!
if you don't have a Unit Circle, this is a good time to get one, you'd need it, you can find many online.
Check the picture below.
Could you show where is Point H?