Question

I need help with 2 Angle Problems! (Medals and Follows)

Answer 1

I need help with both 13 and 15

Answer 2

@campbell_st can you help?

Answer 3

Let's start with problem 13.

Answer 4

What do the little red arrowheads on lines a and b mean?

Answer 5

@nevvy217 Are you there?

Answer 6

Sorry yes, i am not exactly sure what they mean

Answer 7

maybe that they are parallel

Answer 8

Yes, correct. Those arrowheads mean that lines a and b are parallel.

Answer 9

Yay! ^.^ haha

Answer 10

When two lines are intersected by a third line at two different points, the third line is called a "transversal." Lines a and b are intersected by line c at two different pints, so line c is a transversal to lines a and b.

Answer 11

ok i see that now

Answer 12

When two lines are intersected by a transversal, certain pairs of angles have special names.

Answer 13

Angles 1 and 2 are corresponding angles. That is just the name given to two angles in this position. There are 4 pairs of correponding angles.

Answer 14

Pairs of corresponding angles:
1 and 2
3 and 4
5 and 6
7 and 8

Answer 15

ok

Answer 16

There is a postulate that states:
If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Answer 17

Now look at the figure of problem 13.
You know you have parallel lines and a transversal.
You know one angle measures 120 deg.
Do you see an angle that is a corresponding angle to the 120-deg angle?

Answer 18

angle 1?

Answer 19

ohhhh angle 1 would be a corresponding angle and angle 2 would be alternate exterior angles right? @mathstudent55

Answer 20

would 15 then be 155 degrees?

Answer 21

Yes, angle 1 and the 120-deg angle are corresponding. Since the lines are parallel, what can you conclude about the measure of angle 1 from the postulate?

Answer 22

Correct.
Angles 120-deg and 1 are corresponding angles, so by the postulate , they are congruent.
Then for angle 2 you can do it two ways.
1) You did it correctly. The 120-deg angle and angle 2 are alt exterior angles, so they are congruent.
2) Angles 1 and 2 are vertical, and vertical angles are congruent, so angles 1 and 2 are congruent.

Answer 23

Sorry already submitted this assignment.
But thanks for the help! :) You are a life saver haha..

Answer 24

In problem 15, what are angles 118-deg and x called?
Notice you have parallel lines again.

Answer 25

Sorry I got back so late. My connection was lost, and then I had to go and only came back now.