Question

WORTH 50 points pls answer.
The two polygons are similar. Find the values of x and y

Answer 1

y = 120

x = 10.6

Explanation:

Given polygons are parallelograms.

In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.

Since two parallelograms are similar:

60 + y = 180 subtract 60 from both sides

y = 120

To find the value of x:

side lengths are proportional because these are similar polygons

`(x+4)/(22) = (12)/(18)` cross multiply fractions

18x + 72 = 264 subtract 72 from both sides

18x = 192 divide both sides by 18

x = 10.6 approximately