Give the name that best describes the parallelogram and find the measures of the numbered angles. The diagram is not to scale

Question

anonymous · Answer

I know this is a rhombus, but i'm not exactly sure how to find the measures of the numbered angles..... Can any one explain?

deoxna · Answer

Can you upload the graph so we can see it?

deoxna · Answer

Also, the sum of all interior angles of a parallelogram is 360, if that helps.

anonymous · Answer

attachment

deoxna · Answer

Ok so, the  angle opposite the 116º is also 116º. Taking the property I mentioned before:

x+116+116=360
x=128

So each of the other two corners of the rhombus have angle 128/2= 64º. By the SAS theorem, both triangle are congruent. Since the triangle is isoceles, both acute angles are congruent (64/2 = 32º). So all 4 angles are congruent.

anonymous · Answer

Thank you so very much for your help, I appreciate it. can you help with another one?

deoxna · Answer

Sure thing

anonymous · Answer

Find the lengths of the diagonals of this trapezoid.

deoxna · Answer

|dw:1358824754812:dw|Hold on I just need to get the drawing in...