Question

(1.08)Find x and m QRP if m QRP = 2x – 1, m PRS = 3x + 2 and
m QRS = 86. Is the angle bisector of QRS? Support your answer.

Answer 1

@jim_thompson5910

Answer 2

because angles QRP and PRS combine to form angle QRS, this means you can say

(angle QRP) + (angle PRS) = angle QRS

(2x-1) + (3x+2) = 86 ... make the proper substitutions

now solve for x

Answer 3

I'll let you do that and tell me what you get

Answer 4

2x-1+3x+2=86
2x+1+3x=86
5x+1=86
-1 -1
5x=85 x=17

Answer 5

This is what I put on my assignment and her feed back was You didn’t answer the question. Is ray RP the angle bisector of angle QRS?

Answer 6

so if x = 17, then what are angles QRP and PRS?

Answer 7

QRP=2(17)-1=33
PRS=3(17)+2=53

Answer 8

perfect

Answer 9

Then leaves the question Is ray RP the angle bisector of angle QRS?

Answer 10

so, what does that tell us?

Answer 11

what does it mean if something bisects an angle?

Answer 12

That there not equal or...? and I think it divides it or something im not fully sure on that lol

Answer 13

im trying though lol. almost done this is the last question then I have to get ready for work lol

Answer 14

we have this