Question

Can someone help me with this question?

Answer 1

Find the values of x, y, and z. The diagram is not to scale.

a. x = 81, y = 68, z = 99
b. x = 81, y = 100, z = 54
c. x = 68, y = 81, z = 99
d. x = 99, y = 68, z = 81

My answer is a, but I feel like it is wrong.

Answer 2

what approach did you take to make you choose A?

Answer 3

I used the triangle angle-sum theorem.

Answer 4

thats what i was thinking of using as well.

so that tends to narrow it to a or d

what do we know of x and z? they form a straight line ... in this case, one of them is going to be smaller than the other.

Answer 5

if x and z are equal, they would have to be 90 and 90

when we make one smaller, the other has to get bigger .. can you tell me why?

Answer 6

I would say so they can equal 180...but I don't think that's it....

Answer 7

oh thats it alright.

consider: x + z = 180

as x gets smaller and smaller, it gets closer to zero .. therefore z has to get bigger and bigger and gets closer to 180

so, we know x is less then 90, so z has to be bigger than 90

A is the correct option

Answer 8

^_^ Oh good I got it right. I was just checking my work.