Question

Will medal and fan!!

A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.

Answer 1

step 1) find the value of y

hint: 105+y = 180

step 2) use y to find x

hint: x+y+24 = 180

Answer 2

uhh there's no y inside the star only an x!

Answer 3

105 and y are supplementary because they form a straight angle. Which is why 105+y = 180

Answer 4

I added y in

Answer 5

x+y+24 = 180 because all 3 angles of any triangle always add to 180 degrees

Answer 6

oh okay, so y= 75 right?

Answer 7

yep

Answer 8

so now its x+75+24=180 so x would equal 81?

Answer 9

good

Answer 10

an alternative is to use the exterior angle theorem

http://www.mathopenref.com/triangleextangletheorem.html

24 and x are interior angles. They add to 105 which is the exterior angle that isn't touching the interior angles

24+x = 105

solve that for x and you get x = 81

Answer 11

So is that it? if it is, thank you so much that was a lot easier than I thought XD

Answer 12

yeah 81 is your answer. There are 2 ways to get there