Question

Can someone help me? WILL FAN AND MEDAL!

Answer 1

It would equal to where a is but a does not have a number?

Answer 2

sense C = 24, what should d = ?

Answer 3

remember, all angles added together = 180, 24 + ? + 90 = 180

Answer 4

uh huh :)

Answer 5

it's not 66..

Answer 6

hmmmm.... wait

Answer 7

If c = 24, a = 80.. then d = ?

Answer 8

not sure

Answer 9

that is very confusing, should be 66, I don't know what is then...

Answer 10

Well, I am here.

Answer 11

Heyo :)

Since `PQ is parallel to SR and PS is parallel to QR` this is the definition of a parallelogram where opposite sides are parallel to each other :)

Answer 12

d is so easy guys!

Answer 13

Yes quite so.

Answer 14

What is it ? It's not 66, a, 0, or 1..

Answer 15

Oh no: 563blackghost is here.
So I am just listening!

Answer 16

`Opposite angles are congruent.`

Due to this fact we analyze we see that we dont know of c and we know of 46 as well as the opposite angle by knowing 24 and b. Since we have knowledge of opposites of the angle on the transversal we would add them together. So since 46 is the opposite of b then b will be equal to 46. This is according to the `Alternate Interior Angles Theorem`. So that would be c is equal to 24. So lets find the angle of S and Q (they are congruent).

\(\huge\bf{46 + 24 = S}\)

Answer 17

Its best to post on here but yes it is 70 :)

Since we know angles S and Q are equal to 70 we would add those two up.

\(\huge\bf{70+70=140}\)

Now we would need to find to find the angles of P and R. In order to do so we must subtract the total degree of a parallelogram and the angles of Q and S.

\(\huge\bf{360-140=220}\)

Now we would divide by 2 to find what each angle (P and R) can contain.

\(\huge\bf{\frac{220}{2}=?}\)

Answer 18

110?

Answer 19

For me I have a very short easy way!
May I represent it?

Answer 20

Correct :)

Now since 46 was equal to the opposite angle along the transversal which was b then the same rule will apply for P and R. So 80 is equal to a.

In order to find d we would need to subtract 110 by 80.

\(\huge\bf{110-80=d}\)

Answer 21

I wouldn't mind 3mar. Its nice to know a shorter way ;)

Answer 22

30?

Answer 23

Correct ;)

Answer 24

I'm going to close this topic to open another.

Answer 25

46=b alter, int. angles
24+b+80=150 consecutive int. ang.
d=180-150=30

Answer 26

O.o Wow! I did not know you could retrieve it that way. Its seems as though I only work out the long and hard way xD

Answer 27

A point of view!

Answer 28

Definitely ;)

Answer 29

Thank you for the medal!