Question

I need to find x from this polygon

Answer 1

x = 15

Explanation:

the 2 figures are similar , by the AA postulate , then

the ratios of corresponding sides are in proportion

That is the sides x + 1 and 24 , 12 and 18 , so

`(x+1)/(24)` =
`(12)/(18)` ( cross - multiply )

18(x + 1 ) = 24 × 12 = 288 ( divide both sides by 18 )

x + 1 = 16 ( subtract 1 from both sides )

x = 15