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Find the value of x
(words to meet the word thingy)

Find the value of x (words to meet the word thingy)-example-1
User Sgraffite
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1 vote

Answer:

x = 64

Explanation:

The given polygon is a quadrilateral — a closed figure with 4 sides. We know that the measures of the interior angles of a quadrilateral sum to 360º (e.g., the measures of a rectangle's four angles: 90º + 90º + 90º + 90º = 360º). Using this information, we can construct an equation with xº and the rest of the angle measures given in the diagram.

xº + 100º + 130º + 66º = 360º

To solve this equation, we can subtract (100 + 130 + 66)º from both sides.

xº = 360º - (100 + 130 + 66)º

xº = 360º - 296º

xº = 64º

x = 64

User Cschuff
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