Answered

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In a quadrilateral each angle is double another angle.What are the measures of the angles/

Sagot :

Total measure of the 4 angles of a quadrilateral = 360 degrees

one angle double the other:
x = first angle
2x = second angle
4x = third angle
8x = fourth angle

x + 2x + 4x + 8x = 360 degrees
15x = 360

15x/15 = 360/15
x = 24

x = 24 degrees, first angle
2x = 2(24) = 48 degrees, second angle
4x = 4(24) = 96, degrees, third angle
8x = 8(24) = 192 degrees, fourth angle

To check:
24 + 48 + 96 + 192 = 360 degrees
360 = 360