Question

Find x and y with ray theorem

Answer 1

x = 12 and y = 9

Explanation:

Using the similarity theorem to fid the value of x and y

16/x = 16+6/16.5

16/x = 22/16.5

22x = 16*16.5

22x = 264

x = 264/22

x =12

Similarly

24/x = 24+y/16.5

24/12 = 24+y/16.5

2 = 24+y/16.5

24+y = 2 * 16.5

24+y = 33

y = 33-24

y = 9

Hence x = 12 and y = 9