Question

Which reason supports the true statement that angle1 and angle8 are supplementary?


A. if angle1 and angle8 are same-side interior angles.
B. angle1 and angle8 are corresponding angles.
C. angle1 and angle8 are a linear pair.
D. angle1 and angle8 are vertical angles.

Answer 1

http://roads.advancedacademics.com/coursecontent/math/geom2004/unit2_ch3_files/image001.gif

Answer 2

@ranga

Answer 3

What do you think the answer is?

Answer 4

well i got C

Answer 5

Yes!

Answer 6

.If angle9 = 7y° and angle10 = 3y°, what is the measure of angle16 such that x is parallel to z?

A. 54°
B. 90°
C. 126°
D. 18°

Answer 7

this one i got D

Answer 8

You solved for y which is 18 but that is not what they are asking.

Answer 9

Having solved for y how much is angle 9?

Answer 10

it says 9=7.

Answer 11

angle 9 is 7 times y.

Answer 12

Let us start from the beginning. What is the sum of angles 9 and 10?

Answer 13

isnt it 7 and 3? or am i suppose to look for something else.

Answer 14

The problem says angle 9 = 7y and angle 10 = 3y
So what is the sum of angles 9 and 10?

Answer 15

y is an unknown that we have to solve for.

Answer 16

how do i find the sum?

Answer 17

Add 7y and 3y. 7y + 3y = ?

Answer 18

just simplify the expression 7y + 3y

Answer 19

Example: 5x + 3x = 8x

Answer 20

10

Answer 21

It is 10y

Answer 22

Sum of angle 9 and angle 10 = 10y
Looking at the figure do you recognize angles 9 and 10 are supplementary?

Answer 23

yeah

Answer 24

And supplementary angles always add up to how many degrees?

Answer 25

180

Answer 26

Yes. Previously we found the sum of angle 9 and angle 10 = 10y.
And because angle 9 and angle 10 are supplementary they add up to 180

So 10y = 180

What is y?

Answer 27

Divide both sides by 10

Answer 28

18

Answer 29

yes y = 18.
angle 9 = 7 x y = 7 x 18 = ?

Answer 30

is that 7 times y or is it 7x?

Answer 31

seven times

Answer 32

angle 9 = (7)(y) = (7)(18) = ?

Answer 33

im not really sure

Answer 34

you just need to multiply 7 and 18

Answer 35

oooh 126

Answer 36

Yes. If angle 9 is 126 what will angle 14 be?

Answer 37

Examples: In the diagram, angles 1 and 6 are called vertical opposite angles and they are equal. Angles 2 and 5 are vertical opposites and they are equal. Angles 3 & 8 are equal. Angles 4 & 7 are equal.
Now can you answer the previous question?