Please help solve this problem!

[gmac]

Please help solve this problem!

 

[Deleted member 4993]

Please help solve this problem!

I assume the two given rays are parallel. Then I'll draw another parallel ray through Q and apply known theorems about parallel lines on a plane.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

 

[pka]

I assume the two given rays are parallel. Then I'll draw another parallel ray through Q and apply known theorems about parallel lines on a plane.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

View attachment 19650

I have added two points \(S~\&~T\).

Now \(m(\angle TRQ)+m(\angle QRP)+m(\angle QPR)+m(\angle SPQ)=2\pi(180^o)\) why?
Also \(m(\angle PQR)=2\pi-m(\angle RPQ)-m(\angle QRP)\) WHY?

 

[gmac]

I know the answer for the reflex angle is 360-67= 293 but I just don’t understand how you know to do that.

 

[gmac]

I worked it out thank you! By adding that extra line you are able to work out the angles that are adjacent to 29 and 38. Thanks so much!