Question

Angle TUW (10x – 7)° and angle VUW measures (5x + 13)°. Find the measure of angle TUV. http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/a/unit05/resources/images/Geom_5_4_11_KiteTUVW.gif

Answer 1

TUV = TUW + VUW
= (10x – 7)° +(5x + 13)°
CAN YOU PROCEED FROM HERE?

Answer 2

5?

Answer 3

triangles TUC and VUC are congruent then angle TUW is equal to VUW

so find x by letting the angles equal each other

10x - 7 = 5x + 13

5x = 20

x = 4

then angle TUV = 10x - 7 + 5x + 13

or TUV = 15x + 6

substitute x = 4 to find the measure of TUV

Answer 4

@icee look at this:
(10x – 7)° +(5x + 13)°
= (10x +5x -7+13)°
= (15x +6)° is it more clear?

Answer 5

Yes. I got 66

Answer 6

right

Answer 7

gita how do you get 66 from your solution...?


and you are correct ice

Answer 8

What is the value of x if Angle TCU measures (7x – 1)°

Answer 9

@campbell_st well you've already established value of x i just substituted

Answer 10

well TCU is a right angle... the diagonals of a kite intersect at right angles.

so 90 = 7x -1

solve for x

91 = 7x

divide both sides by 7 to find x

Answer 11

x would be 13

Answer 12

@gitahimart just curious... after reading your 1st suggestion for the solution

Answer 13

thats correct ice

Answer 14

I have one more question. What if TC=14 what would be the length of TV?

Answer 15

the diagonal TV is bisected by the diagonal WU... so if TC = 14 then TV = 2 x TC

Answer 16

hope it helps

Answer 17

28

Answer 18

yes

Answer 19

thank you!