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6 votes
The measure of the exterior angles of a quadrilateral are 4x° , 7x°, 9x° and 10x°. Find the measure of the smallest exterior.

User Dan Balthaser
by
2.3k points

1 Answer

24 votes
24 votes

Answer:

48°

Explanation:

the sum of the exterior angles of any polygon is 360°

so, 4x + 7x + 9x + 10x = 360

30x = 360

x = 12

smallest exterior ∡ is 4x, so 4(12) = 48°

User Xpmatteo
by
3.1k points
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