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27 votes
A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.

User Rach Sharp
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1 Answer

19 votes
19 votes

Answer:

129 degrees.

Explanation:

The Sum of all the interior angles of an a-sided polygon is always (n−2) × 180 degrees.

As this is a seven-sided polygon, the sum of its interior angles is (7−2) × 180 degrees = 5 × 180 degrees = 900 degrees.

Step 1: Find the sum of six of the angles is 130 degrees, 118 degrees, 135 degrees, 128 degrees, 126 degrees, and 134 = 771 degrees

Hence the seventh angle is x = 900 degrees − 771 degrees= 129 degrees.

User Nroose
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