Question

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

Write and solve an equation to determine the measure of angle x.

Answer 1

@DanJS

Answer 2

What do you know about the angle for a straight line?

Answer 3

Nothing basically

Answer 4

A straight line is 180 degrees

Answer 5

oh and 360 is all around turn thingy

Answer 6

90 is a right angle

Answer 7

The sum of all the angles that make up a straight line is 180 degrees

Answer 8

Vertical angles are equal

Answer 9

Ok, so

Answer 10

so you have
\[180 = 70 + 60 + y\]

Answer 11

those 3 angles add together to form a straight line.

Answer 12

hmm so what are we trying to find?

Answer 13

angle x

Answer 14

you find Y from that, then angle X=angle Y because they are "Vertical angles"

Answer 15

yes right so how do we start?

Answer 16

What i said above... the sum of any number of angles that total a straight line is 180 degrees. So you can say.

180 = 60 + 70 + y

Answer 17

y = 180 - 60 - 70 = 50

Answer 18

oh..

Answer 19

since Y and X are vertical angles,
y = x = 50

Answer 20

so then its that easy!?! WOW

Answer 21

I think what they want you do do is this though...

Answer 22

THANK YOU SO MUCH YOU ARE THE BEST

Answer 23

do what?

Answer 24

here

Answer 25

Here what? @DanJS

Answer 26

\[180 = 60 + 70 + x~~~~and~~~~180=60+70+y\]

both of those angle combinations make a straight line of 180

Answer 27

So it sort of proves that the "vertical angles" x and y are equal

Answer 28

oh so thats it?

Answer 29

yeah that is it

Answer 30

The point of the prob, is to realize that a straight line is 180 degrees

Answer 31

you are AWESOME thanks soooooooooooooooo much!!!!!!!!! #1 LIFESAVER

Answer 32

welcome