Find x and y and explain your answer

x = 30

y = 59.33

Step-by-step explanation:

We have Redrawn the diagram by naming the quadrilateral.

Now According to redrawn diagram;

∠ A = 90°

∠ B =

∠ C =

∠ D =

We need to find the value of 'x' and 'y'.

Solution:

Now we know that;

"If a quadrilateral whose all four sides or vertices touches the circle then it is said to be cyclic quadrilateral."

The Given diagram is a Cyclic Quadrilateral.

Now By Properties of Cyclic Quadrilateral which states that;

"Sum of the angles of opposite side of quadrilateral is always 180°."

So we can say that;

∠ A + ∠ C = 180°

∠ B + ∠ D = 180°

Substituting the values we get;

Also

Hence The Value of x is 30 and y is 59.33.

stethere all not eveanp-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)