Tamara is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180o. Line m is parallel to line n.

Line n is parallel to line m. Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 135 degrees.Segment PQ makes 30 degrees angle with line n and segment PR makes 15 degrees angle with line n.

Which is a true statement she could write?
Angle PRQ measures 30o.
Angle PRQ measures 15o.
Angle PQR measures 15o.
Angle PQR measures 45o.

Question

Tamara is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180o. Line m is parallel to line n.

Line n is parallel to line m. Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 135 degrees.Segment PQ makes 30 degrees angle with line n and segment PR makes 15 degrees angle with line n.

Which is a true statement she could write?
Angle PRQ measures 30o. 
Angle PRQ measures 15o. 
Angle PQR measures 15o. 
Angle PQR measures 45o.

znappydooz · Answer

attachment

znappydooz · Answer

@Straybullet

anonymous · Answer

Angle PRQ measures 15o.

directrix · Answer

I know we are not solving the triangle but because the lines are parallel, I used the alternate interior angle theorem to help a bit.

anonymous · Answer

Haha what Directirx said

znappydooz · Answer

Now, straybullet, can u medal @Directrix?

znappydooz · Answer

Yay! Good job ;)

directrix · Answer

You guys are fun and funny. I hope I am not interrupting your work.

znappydooz · Answer

Haha nah :P
We friends in real life ;)

anonymous · Answer

@Directrix Nah man its all cool your explaining how to actually do it and Im just giving the answer so its good

directrix · Answer

Okay, if I become a pest, let me know.