Question

What are the measures of Angles a, b, and c? Show your work and explain your answers.

How would I do this?

Answer 1

ok, lets start with angle A. do you have an idea where to start with that one?

Answer 2

well it's the vertical one I think so would it be equal to the 40?

Answer 3

yup, that was pretty painless, huh?

Answer 4

ok, lets skip to angle C. do you know where to start on that one?

Answer 5

Nope haha

Answer 6

wait that's the same isn't it?.-.

Answer 7

ok, well the angle adjacent (next to) angle C is how many degrees?

Answer 8

65

Answer 9

and how many degrees is a straight line?

Answer 10

0, right? :p

Answer 11

wait

Answer 12

no, theres 180 degrees in a straight line

Answer 13

so what 180-65?

Answer 14

115

Answer 15

yup, so thats your answer for angle C, because 65 + 115 = a straight line

Answer 16

make sense?

Answer 17

Yes (:

Answer 18

ok, now back to angle B. how many degrees are in a triangle?

Answer 19

180

Answer 20

right, so look at the three angles in the triangle (the one with angles A and C)

Answer 21

lets call that third angle X, do you know the value of angle X?

Answer 22

Alright so 40 + 115 = 155
180 - 155 = 25

Answer 23

so B would be 25, right?

Answer 24

not quite, whered you get those numbers from?

Answer 25

oops, i meant the traingle with angles A and B

Answer 26

the other two angles that are in the triangles o: OH

Answer 27

yeah, haha sorry

Answer 28

so theres angles a, b and x

Answer 29

so a is 40 and the other two would have to both fit into 140

Answer 30

yup, but theres a very simple way of figuring out angle X

Answer 31

do you know what that is?

Answer 32

ah nope .-.

Answer 33

you see how in the picture most of the angles have a curved line in it, like this

Answer 34

Yes o:

Answer 35

but theres on angle that has a box, like this

Answer 36

yes, so what's the difference?

Answer 37

the box means the angle is a right angle, which is EXACTLY 90 degrees. no more, no less. the rounded line means its either less than 90 or more than 90.

therefore, if angle x is a right angle, how many degrees is it?

Answer 38

so x = 90
a + x = 130
and b would be 50

Answer 39

yup! good job(:

Answer 40

Thank you!

Answer 41

yup(: medals, fans, and testimonials are very appreciated if you feel obliged(;