3lines are shown. a line with points t, r, w intersects with a line with points s, r, v at point r. another line extends from point r to point u in between angle v r w. which pair of angles are vertical angles? anglewru and anglesrt anglewrs and anglevrt anglevru and angletrs anglevrt and anglesrt

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* Lets explain the meaning of the vertical angles

- Vertical angles are the angles opposite to each other when two lines

  are intersected

- The vertical angle are equal in measures

- Look to attached figure which represents the lines

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ ∠ WRS and ∠ VRT are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

  it intersects them its endpoint R

* Now lets look to the answer to chose the right one

- ∠ WRU and ∠ SRT are not vertical angles

- ∠ WRS and ∠ VRT are vertical angles

- ∠ VRU and ∠ TRS are not vertical angles

- ∠ VRT and ∠ SRT are not vertical angles

Area of the rectangle = ( x²+12x+27)unit²

Step-by-step explanation: Length = x+3  Breadth = x+9

∴ Area of Rectangle = L×B

(x+3)(x+9) = x²+9x+3x+27 = (x²+12x+27) unit²