Answer:
Answer: B. x=7
Step-by-step explanation:
Similar Triangles
Assuming the up arrows indicate parallel lines, then triangles PQT and PRS are similar. See the image provided below.
Similar triangles have their side lengths proportional by a constant scale factor. They also have all of their internal angles congruent, or with the same measure.
This means that the marked angles are equal:
2x + 5 = x + 12
Subtracting x
x + 5 = 12
Subtracting 5:
x = 7
Answer: B. x=7
