Question

What is angle i,t and what's x equal??

Answer 1

This is the kite. The kite has two pairs of sides of equal length.

TE = TI and KE = KI.

Therefore we have the equation:

14x - 19 = 12x + 35      |add 19 to both sides

14x = 12x + 54     |subtract 12x from both sides

2x = 54     |divide both sides by 2

x = 27

IT = 12x + 35

put the value of x to the expression:

IT = 12(27) + 35 = 324 + 35 = 359

Answer 2

in a Kite, one has two pairs of opposite angles that are equal, namely ∡K=∡T, and ∡I = ∡E, and that also means that the sides IT = ET, therefore

$\bf \stackrel{IT}{12x+35}=\stackrel{ET}{14x-19}\implies 54=2x\implies \cfrac{54}{2}=x\implies \blacktriangleright 27 = x\blacktriangleleft \\\\\\ IT=12(27)+35\implies IT=324+35\blacktriangleright \implies IT=359 \blacktriangleleft$