Question

Find the measure of each angle. Assume the lines are parallel.

Answer 1

Angles 1, 7, 3, and 5 are all congruent. The others: 2, 8, 4, and 6 are each supplementary to 113 degrees and congruent as well. So, if 2 supplementary angles add up to 180 degree, what would the measure of angle 2 be if it is supplementary to angle 1, which is 113 degrees?

Answer 2

would it just be 113?

Answer 3

To find the supplement of angle 1:
180 - 113

Answer 4

okay so 67

Answer 5

Measure of Angle 1= 113
Measure of Angle 2 = 180-113

Answer 6

so can i have a list? please?

Answer 7

There you go.

Answer 8

but i need to know all 8

Answer 9

Angles 1, 7, 3, and 5 are all congruent/the same. So, they're all 113.

Answer 10

s0 4 6 and 8?

Answer 11

so*

Answer 12

Angles 2, 8, 4, and 6 are also congruent. You just found the measure of Angle 2, which was 67. So, Angles 8, 4, and 6 are the same as Angle 2. 67.

Answer 13

thanks alot man

Answer 14

No problem.

Answer 15

ok so angle 7 is 151 right?

Answer 16

@TOMWALK

Answer 17

Correct. Opposite angles are congruent. So, Angles 7 is also 151. If you know that. You can also find the measures of Angles 6 and 8 because they are supplements to those first two angles of 151.

Answer 18

thanks

Answer 19

if i need more help later in this lesson can i tag you? :D

Answer 20

You can't find 1, 2, 3, or 4 here because the two lines are not parallel like they were in the other problem.

Answer 21

Sure.

Answer 22

Select all pairs of alternate interior angles. Assume the lines are parallel. @TOMWALK

Answer 23

explain please :D

Answer 24

3 and 6. 4 and 5 are alternate interior angles. I can't believe they expect you to assume those two lines are parallel, though. That's ridiculous. Lol.

Answer 25

hahaha right!

Answer 26

thanks again lol

Answer 27

Typically, in a problem like this where they say the two lines are parallel, you'd have 2 PARALLEL line with a transversal going through them. In this case, the two "parallel" lines are the "horizontal"-ish lines...

Answer 28

Assuming the lines are parallel, angle 4 corresponds with angle

Answer 29

would it be 2?

Answer 30

The interior angles are all the angles that are formed inside/between the two parallel lines. ALTERNATE interior angles are the angles are the angle pairs on the opposite sides of the transversal.

Answer 31

Angle 2 is ONE answer.

Answer 32

okay. they dont explain thighs too well on this homeschooling program

Answer 33

okay i only need one :D

Answer 34

Yes, then Angle 2 would be the corresponding angle. Can you figure out which other angles would have the same measure as Angle 4?

Answer 35

Select all pairs of corresponding angles. Assume the lines are parallel.

Answer 36

just 2 and 6 and 3 and 7 right? or is there more?

Answer 37

@TOMWALK

Answer 38

2 and 6, 4 and 8, 1 and 5, 3 and 7 are all corresponding angles IF THE LINES ARE PARALLEL.

Answer 39

But you never answered my question above...

Answer 40

1 moment i will :D

Answer 41

i just got a 90% with your help thanks man you rock!

Answer 42

no i have to do a lesson about circle angles

Answer 43

now*

Answer 44

No problem.

Answer 45

If an inscribed angle measures 67°, how would you find the intercepted arc? @TOMWALK

Answer 46

The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.

Answer 47

So, if you know this, what would be the measure of the intercepted arc?

Answer 48

i had to multiply by 2 right?

Answer 49

Correct.

Answer 50

what about a cental angle of 28 degrees

Answer 51

@TOMWALK

Answer 52

The inscribed angle is half of the central angle that subtends the same arc.

Answer 53

so subtrat by half?

Answer 54

orr what?

Answer 55

Are you trying to find the measure of the inscribed angle or the intercepted arc for the given central angle?

Answer 56

just arc

Answer 57

hat would i do? divide by 2?

Answer 58

what*

Answer 59

The measure of the intercepted arc (equal to its central angle) is exactly twice the measure of the inscribed angle.

Answer 60

So...

Answer 61

The measure of the intercepted arc is the same as the measure of its corresponding central angle.

Answer 62

so its equal?

Answer 63

Yes. Measure of Central Angle = Measure of Intercepted Arc.

Answer 64

Central Angle and Intercepted Arc are both 2 times the inscribed angle.

Answer 65

okay so i dont divide it by 2? equal is my answer

Answer 66

For a Central Angle of 28 degrees, it's Intercepted Arc is also 28 degrees, whereas the inscribed angle would be half of that, or 14.

Answer 67

Make sense?

Answer 68

okay so i do divide by two! awesome thanks makes sense

Answer 69

Wait. You said you needed to find the Intercepted Arc given the Central Angle....

Answer 70

The Central Angle and Intercepted Arc are equivalent. They're the same.

Answer 71

If you have to find the INSCRIBED ANGLE for the given Central Angle, then you would divide the Central Angle by 2.

Answer 72

The measure of the arc created by a central angle is 57°. What type of arc is this?

Answer 73

@TOMWALK

Answer 74

Here: You should watch this video: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/e/circles_and_arcs

Answer 75

Unfortunately I need to sign off for now. I'm meeting up with some people.

Answer 76

k

Answer 77

okat thank you and have a good time!