# Quadrilateral DEFG quadrilateral KLMN. Find the given angle measure.

1 answer

###### Question:

Quadrilateral DEFG quadrilateral KLMN. Find the given angle measure.

## Answers

Since the quadrilaterals are similar, it is found that the measure of angle D is of 92º.-------------------------------------------If two polygons are similar, their equivalent angles have the same measures.Quadrilaterals DEFG and KLMN are similar.The angle equivalent to angle D is angle K, thus they are equal.The measure of angle D is: (20x + 12)º.The measure of angle K is: (25x - 8)º.Since they are equal:[tex]25x - 8 = 20x + 12[/tex][tex]5x = 20[/tex][tex]x = \frac{20}{5}[/tex][tex]x = 4[/tex]Then:[tex]20x + 12 = 20(4) + 12 = 80 + 12 = 92[/tex]The measure of angle D is of 92º.A similar problem is given at https://brainly.com/question/11334173

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