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The measures of the interior angles of a quadrilateral are 2°, 3x", 5x°, and 7x°. Find the measures of all the interior angles.

X= ?
3x= ?
5x= ?
7x= ?

HURRY PLEASE !

User Willurd
by
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1 Answer

4 votes

Answer:

x = 22.5°

3x = 67.5°

5x = 112.5°

7x = 157.5°

Explanation:

You have both 2° and x for the measure of the first angle. I used x°.

Sum of the measures of the interior angles of a polygon

For an n-sided polygon:

(n - 2)180° = 2(180°) = 360°

x° + 3x° + 5x° + 7x° = 360°

16x = 360

x = 22.5°

3x = 67.5°

5x = 112.5°

7x = 157.5°

User Cardamo
by
8.1k points