Question

How can I find X and Y in this diagram?

Answer 1

Given the figure of a cyclic quadrilateral

The sum of the opposite angles = 180

so, we can write the following equations:

$\begin{gathered} x+100=180\rightarrow(1) \\ 2y+102=180\rightarrow(2) \end{gathered}$

we will find (x) from equation (1):

x = 180 - 100 = 80

We will find (y) from equation (2):

2y = 180 - 102

2y = 78

y=78/2 = 39

So, the answer will be:

x = 80

y = 39