Math  /  Geometry

QuestionThe diagram shows a regular polygon.
What is the value of xx ? Write your answer as an integer or as a decimal rounded to the nearest tenth. x=x=

Studdy Solution

STEP 1

1. The polygon in question is a square.
2. A square is a regular polygon with four equal sides and four equal angles.
3. Each interior angle of a square is 90 90^\circ .

STEP 2

1. Identify the type of polygon.
2. Determine the measure of an interior angle of the polygon.
3. Assign the value to x x .

STEP 3

Identify the type of polygon. The problem states that the polygon is a square. A square is a regular polygon with four equal sides and four equal angles.

STEP 4

Determine the measure of an interior angle of the polygon. In a square, each interior angle measures 90 90^\circ .

STEP 5

Assign the value to x x . Since the interior angle of the square is 90 90^\circ , we have:
x=90 x = 90^\circ
The value of x x is:
90 \boxed{90}

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