C is your answer.
It contains the proper points and form. A is not in point-slope form and B has the incorrect slope.
Im taking the test not ill let you know<span />
Answer:

Step-by-step explanation:
Please refer to the image attached with this answer. Assuming our triangle to be ΔABC and Line AD meeting BC at D.
As we are given that side b = side c
The angle subtended by them ∠B and ∠C must be equal . Let us assume them to be x each . hence
x + x + 52° +31° = 180°
2x + 73° = 180°
2x = 180°- 73°
2x = 107 °
x = 53.5°
Hence in ΔACD
x+ 31°+∠2= 180°
53.5°+31°+ ∠2 = 180°
∠2=180°-84.5°
∠2=95.5°
Also
∠1 + ∠2 = 180°
∠1 + 95.5° = 180°
∠1 = 180°-95.5°
∠1 =84.5°
Now applying Sine rule in ΔABD




Hence we have c as 15.14
as we are given that side c = side b , b=15.14
The properties of any triangle says that the sum of two sides of any triangle is always greater than the third side. Hence
a<b+c
12+2x-6<15.14+15.14
6+2x<30.28
2x<30.28-6
2x<24.28
x<12.14
also side a must be greater than 0
12+2x-6>0
6+2x>0
2x>-6
x>-3
Hence the range of x will be
-3 <x < 12.14
Applying the properties of a kite, m∠WZY = 128°.
<h3>Properties of a Kite</h3>
- The diagonals of a kite bisect each other perpendicularly.
- The main diagonal bisects the opposite angles.
Given:
m∠ZWY=41∘
m∠XYW=11∘
m∠WZY = (180 - 90 - 41) + (180 - 90 - 11)
m∠WZY = 49 + 79
m∠WZY = 128°
Therefore, applying the properties of a kite, m∠WZY = 128°.
Learn more about kite on:
brainly.com/question/25776644