Question

In circle A, AED = 48 degrees and DAE = 44 degrees. Determine if AC = EF. Explain why or why not and show all work.

Answer 1

Here is the circle for the question

Answer 2

@mww @welshfella care to help on this one

Answer 3

This one is simple. But the question is not to show AC = EF, rather that they are perpendicular to each other. To do this, show that the angle ADE is a right angle (90 degrees)

So look at triangle ADE. What are the size of the angles inside ADE you have been given and what must all angles inside a triangle add up to? This will help you figure out angle ADE. It has to be 90 for AC to be perpendicular to EF.

Answer 4

@mww they all have to equal to 180 am i correct?

Answer 5

the 3 angles in a triangle add up to 180
if you are given 2 of the angles, you can figure out the 3rd. Do you see how ?

Answer 6

sort of, ive never been good at any type of math

Answer 7

you can try on this. what do the 2 angles they give you add up to ?

Answer 8

they equal up to 92 degrees

Answer 9

yes. if we call the 3rd angle x (x for unknown)
92 + x = 180
which is a way to write: 92 plus an unknown amount add up to 180

Answer 10

maybe it's not clear how to find that number?

if you had
1+ ? = 2
you know what number that is , right ?

Answer 11

it would be 1, because everyone know 1 + 1 = 2

Answer 12

yes.

and
1+ ? = 3
the ? would be 2.

it turns out if we do 3-1 , we get the answer

in your problem
92+x = 180
x = 180 - 92

Answer 13

okay i totally made this harder on myself when its actually pretty easy wow

Answer 14

what do you get for the 3rd angle ?

Answer 15

i got 88 degrees

Answer 16

yes.
next, what angle do two perpendicular lines make ? any idea ?

Answer 17

the form a 90 degrees angle

Answer 18

yes, and 88 is not 90
so the two lines AC and EF are *not* perpendicular

Answer 19

i feel s stupid hah that was such an easy question but i just made it harder on myself. Thank you so much!

Answer 20

If this stuff was obvious, you would not have to be taught. One reason people are taught math is to practice "thinking" which is a hard thing to learn. (but useful!)