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

Mathematics

1 answer:

Digiron [165]2 years ago

6 0

Answer:

y = 120

x = 10.6

Step-by-step 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

$\frac{x+4}{22} = \frac{12}{18}$ cross multiply fractions

18x + 72 = 264 subtract 72 from both sides

18x = 192 divide both sides by 18

x = 10.6 approximately

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