Question

can someone explain how to do this to me?

In the figure below, p || q and r || s. Using the figure for the following questions, select the best answers from the choices provided.

http://secure.starssuite.com/files/Geo2010/Geom_05S_Fig02.jpg

If m∠7 = 105, what is the measure of ∠10?

If m∠10 = 45, what is the measure of ∠6?

If m∠12 = 70, what is the measure of ∠1?

Answer 1

Alright, so angle 7 is posted above as 105

Since we know that Line P and Line Q are parallel, they will intersect Line R at the same angles right?

Answer 2

right!

Answer 3

sorry for late response, my pc is slow

Answer 4

No problem :)

Alright so if that is true, each corresponding angle will be equal

(refer to your diagram)

<1 = <9
<2 = <10
<3 = <11
<4 = <12
<5 = <13
<6 = <14
<7 = <15
<8 = <16

right?

Answer 5

right

Answer 6

There is actually a bunch more symmetry but too much to type out lol, so we'll see it as we go.

Angle 7 = 105....angle 2 will be the supplement of that which means it will be equal to something that (when added to angle 7) will = 180



So angle 2 will be 180 - 105 = ?

Answer 7

75

Answer 8

Right, and that is angle 2

Well remember up there how I said <2 = <10?

Answer 9

yes:)

Answer 10

So there we go :) For #1, angle 10 will be 75 degrees

Answer 11

Now onto number 2... :P

Answer 12

Alright so



Alright so, angle 10 is now made to be 45 degrees, What will angle 15 be? Remember it is the supplement to angle 10 so they would add to make 180

Answer 13

so would you ssubtract 180 from 45?

Answer 14

Well 45 from 180 yes :P

Answer 15

i got 135

Answer 16

correct



now see that I have now labeled angle 16....well angle 16 will be the supplement to angle 15...

so angle 15 + angle 16 = 180

135 + x = 180

x = 45 again right? so angle 16 will = 45