Question

PLEASE HELP on this finding measure question!!

Answer 1

Is QRST a parallelogram?

Answer 2

@mathstudent55 its a rhombus

Answer 3

Ok a rhumbus is a parallelogram with all sides congruent, so all properties of a parallelogram apply to a rhombus.

Answer 4

Ok. Got cha

Answer 5

@mathstudent55 What are all the angles suppose to add up to INSIDE?

Answer 6

In a polynomial, use the formula (n - 2)180 fro a polynomial of n sides. That's the sum of the measures of all the interior angles. Here you have 4 sides, so the sum is 360 degrees.

m<1 = x + 3
m<TQS = 53

Answer 7

m<1 = y = x + 3
Here's one equation: y = x + 3

Answer 8

Now look at triangle TQS.
m<1 = y
m<2 = y + 1
m<RTQ = 3x + 2
m<TQS = 53
Add all 4 angles above and set equal to 180. That's the second equation.

Answer 9

360. Ok gotcha. I'll try and remember that formula. lol
So now, would I just go plug in x + 3 for y?

Answer 10

yes

Answer 11

So take 90 - 53 and you get 37.
So angle 1 is 37.

Answer 12

@mathstudent55
So if you go on to 2 -

Answer 13

@mathstudent55 WAIT!!! THEY would both be 37?!?!?!?

Answer 14

I don't get these numbers at all. Are you sure all the angles are labled correctly?