2012
Mathematics
67ca00ce0c643c71d77dee1f
The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
A.
24°
B.
30°
C.
33°
D.
36°
Correct Answer: 36°
Explanation
Since there are 5 angles given, the polygon is a pentagon. Sum of interior angles of a pentagon = (2(5) - 4) x 90° = 540° ∴ x + 2x + 3x + 4x + 5x = 15x 15x = 540° x=540/15=36°
Since there are 5 angles given, the polygon is a pentagon. Sum of interior angles of a pentagon = (2(5) - 4) x 90° = 540° ∴ x + 2x + 3x + 4x + 5x = 15x 15x = 540° x=540/15=36°THIS WEEK's
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