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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

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x = ?

A polygon with hash marks on the two sides, the left side labeled four X plus twelve and the right side labeled sixty but here's the picture.

The interior angles formed by the sides of a quadrilateral have measures that sum-example-1

2 Answers

2 votes

Answer:

59

Explanation:

i go to k-12 and the answer is correct!

User Serak Shiferaw
by
8.9k points
7 votes

Answer:

x = 59

Explanation:

Equations

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:

x + x + 2x + 3 + 2x + 3 = 360

Simplifying:

6x + 6 = 360

Subtracting 6:

6x = 354

Dividing by 6:

x = 354/6

x = 59

User Steve Davis
by
8.7k points

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