Question

Find the measure of x.

Answer 1

Answer:

x = 2

Step-by-step explanation:

See the given figure attached.

Given that RQ and ST are parallel and angle PRQ is equal to 120°.

Now. ∠ PRQ and ∠ QRS are supplementary.  

Hence, ∠ QRS = 180° - 120° = 60°

Again, as RQ ║ ST so, ∠ QRS = ∠ UST {Corresponding angles}

So, ∠ UST = 60°.

Now, given that 15(x + 2) = ∠ UST = 60°

⇒ x + 2 = 4

⇒ x = 2 (Answer)

Answer 2

Answer:

The correct answer is x=6

Step-by-step explanation:

Line segment PU=180

angle PRQ=120

angle UST= 15(x+2)

Therefore:

120+15(x+2)=180

120+15x+30=180

150+15x=180

15x=30

15x/15=30/15

x=2