Find the value of x in the kite below. TU = 15x – 23 and UV = 3x + 37

Answer: 5
Step-by-step explanation:
Given : In the the given kite , we have
TU= 15x-23 and UV = 3x+37
A kite has two pairs of consecutive sides that are equal in length.
In the given figure , we have TU and UV are adjacent shorter sides in the kite , which must be equal.
Then , we have the following equation :-
[tex]15x-23=3x+37\\\\\Rightarrow\ 15x-3x=37+23\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=\dfrac{60}{12}=5[/tex]
Hence, the value of x= 5