Angle TUW measure (10x – 7)° and angle VUW measures (5x + 13)°. Find the measure of angle TUV. Show equations and all work that leads to your answer.

Question

anonymous · Answer

attachment

directrix · Answer

@cwright150    Please post the information about the quadrilateral. Something had to be given about what type it is because there is no way to work the problem with more information. Look and see what it is, okay?  Thanks.

anonymous · Answer

all the information i have on the problem is in my first post or in the picture i posted underneath it. sadly that's all i have

directrix · Answer

Is this a kite? It seems that you are working on a group of problems about kites so I'm guessing.

anonymous · Answer

yes this is a kite :)

directrix · Answer

Okay, then we can do the problem.

anonymous · Answer

all i know so far is that x=4

directrix · Answer

Triangle TCU is congruent to Triangle VCU.

By CPCTC (Corresponding parts of congruent triangles are congruent), 

m<TUW = m<VCU

directrix · Answer

So, 10x - 7 = 5x + 13

What is the value of x?  @cwright150

anonymous · Answer

x=4

directrix · Answer

So, how big is the angle with this measure:  10x - 7

anonymous · Answer

its 33 degrees correct

directrix · Answer

Yes, and what is the measure of the angle with this: 5x + 13

anonymous · Answer

again its 33

directrix · Answer

Yes.  The angle you want to find:

m<TUV = m<TUC + m<VUC

m<TUV = 33 + 33 = ?

anonymous · Answer

so the angle of TUV is 66 degrees :)

directrix · Answer

Yes, that is what I got.

anonymous · Answer

thanks for the help on this one :)

directrix · Answer

You are welcome. I see one more.