Question

would anyone know how to do these?

Answer 1

What are the questions?

Answer 2

find x,y, a, b

Answer 3

I haven't done geometry for a while, so I don't remember the names of the specific theorems and rules. But x would be 120º because of the opposite angle.

Answer 4

yeah i know everything but y

Answer 5

All the angles in a triangle add up to 180º. So do 180-120-38.

Answer 6

Y is 22º

Answer 7

why are you subtracting

Answer 8

oh but what about the 7

Answer 9

Because the angle measures in a triangle always add up to 180º. Does that make sense?

Answer 10

7 is the length of the line separating the shape into two triangles. SInce it's the longest line, it's also the hypotenuse.

Answer 11

oh thats not an angle ok thanks so much!!

Answer 12

No problem!

Answer 13

would you also be able to help me with 10?

Answer 14

Sure! X is a right angle so that will be 90º.

Answer 15

how would you find b

Answer 16

Then you can do 180-90-45 to find y.

Answer 17

For b, you need to find the length of the side on the triangle on the right. Do you know the pythagorean theorem?

Answer 18

yeah

Answer 19

Actually, since the triangle on the right has a 90º angle, and two 45º angles, you can know that the two shorter sides of the triangle have the same length.

Answer 20

so 72=c^2

Answer 21

its a decimal

Answer 22

Sorry I made a mistake. B is 4.

Answer 23

how do you know

Answer 24

The whole shape is a rectangle. So b is equal to the opposite side.

The opposite side is 4 because it is the leg of a triangle with two 45º angles and a 90º angle. What I mean is that whenever there are two 45º angles in a right triangle, the legs (shorter sides) have equal lengths.

Answer 25

I hope this is making some sense...

Answer 26

okay i got it thanks!

Answer 27

Ok good! Do you know how to find a?

Answer 28

yeah a is 9

Answer 29

Actually it's 10. Add the bottom two numbers together. 4+6.

Answer 30

oh yeah i got that i was thinking 10 but saw a 9 haha