Question

Given: line l is parallel to line m. If the measure of angle 1 = 7x – 10, and the measure of angle 5 = 5x + 16, find the value of x and the measures of angles 1 and 5.I NEED HELP SO BAD PLEASE WALK ME THROUGH THIS ANYONE

Answer 1

@jim_thompson5910

Answer 2

each of the numbers are on the opposite side of the transversal from each other

Answer 3

well angle 1 and angle 5 are equal as they are corresponding angles in parallel lines.

so you can say

7x - 10 = 5x + 16

solve the equation for x

Answer 4

now I did all that in my assignment and the feedback I got on it was I was also supposed to find angles 1 and 5?

Answer 5

what did you get for x

Answer 6

x=13

Answer 7

7x-10=5x+16
+10 +10
7x=5x+26
-5x -5x
2x=26
x=13

Answer 8

if angle 1 = 7x – 10, and x = 13, then angle 1 =???

Answer 9

81?

Answer 10

and angle 5 is parallel which means its 81 as well?

Answer 11

yep, you got it

Answer 12

angle 1 = angle 5 because they are corresponding angles (and because line m and l are parallel)

Answer 13

so

angle1 = 81 degrees
angle5 = 81 degrees

Answer 14

Ok great I might have a few more questions for you Jim thank you :) is that ok?

Answer 15

sure I can help, but just with a few

Answer 16

Ok thank you I only have a few so let me get those on her in one second while I finish writing my answer out on my oral component

Answer 17

<1=<4 (alternate angles)
<4=<5
therefore <1=<5
7x-10=5x+16
7x-5x=16+10
2x=26
x=13
<1=7*13-10=91-10=81
<1+<2=180 (adjacent angles)
81+<2=180
<2=180-81=99
<1=<4=<5=<8=81 (alternating angles)
<2=<3=<6=<8=91 (corresponding angles)

Answer 18

corrections
<2=<3=<6=<7