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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?

Enter your answer in the box.

x =

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

2 Answers

10 votes

Answer:

59

Explanation:

x + x + (2x + 3)° + (2x + 3)° = 360°

6x + 6 = 360

6x = 354

x = 59

User JonnyRaa
by
4.3k points
3 votes

Answer:

x = 59

Explanation:

Since the angles of a quadrilateral add up to 360°, simply set the sum of all the angles to 360°:

x + x + (2x + 3) + (2x + 3) = 360

Combine like terms:

2x + 4x + 6 = 360

6x + 6 = 360

Get the x's on one side:

6x = 360 - 6

6x = 354

Solve by dividing by 6:

x = 59

User Charas
by
4.1k points