3 lines 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 p
oint 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
2 answers:
Answer:
The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer
Step-by-step explanation:
* <em>Lets explain the meaning of the vertical angles</em>
- Vertical angles are the angles opposite to each other when two lines
are intersected
- The vertical angle are equal in measures
- <em>Look to attached figure which represents the lines </em>
∵ Line TW intersects line SV at R
∴ ∠ WRV and ∠ SRT are vertical angle
∴ <u><em>∠ WRS and ∠ VRT</em></u> 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
* <em>Now lets look to the answer to chose the right one</em>
- ∠ WRU and ∠ SRT are not vertical angles
- <em><u>∠ WRS and ∠ VRT are vertical angles </u></em>
- ∠ VRU and ∠ TRS are not vertical angles
- ∠ VRT and ∠ SRT are not vertical angles
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