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Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°)

X= (simplify your answer)

Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°) X-example-1
User Sirksel
by
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2 Answers

22 votes
22 votes

Answer: The value of x is 26
In the given quadrilateral, it is given that, two angles have measurements

And two have measurement

And sum of measurement of angles of a quadrilateral is 360 degree, that is

SO for the given quadrilateral, the value of x is 26 .

Explanation:

User Joseantgv
by
3.3k points
15 votes
15 votes

Answer:

x = 30

Explanation:

You want the value of x given that adjacent angles in a parallelogram are (3x+30)° and (2x)°.

Supplementary angles

Adjacent angles in a parallelogram total 180°, so ...

(3x +30)° +2x° = 180°

5x +30 = 180 . . . . . . . . . divide by °, simplify

x +6 = 36 . . . . . . . . . divide by 5

x = 30 . . . . . . . . . subtract 6

The value of x is 30.

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Additional comment

The angles are (3·30 +30)° = 120°, and 2·30° = 60°.