Answer:
x = 50
Step-by-step explanation:
When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:
x + 96 = 146
7x - 2y = -3
14x + y = 14
28x + 2y = 28
35x = 25
x = 25/35= 5/7
14(5/7) + y = 14
10 + y = 14
y = 4
(5/7, 4)
x=1
Diagonals are both 7
Diagonals of a rectangle are both equal
So ...
4x + 3 = 7
4x = 4
x = 1
