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In a polygon the outer angle at one vertex is 3 times the inner angle at that vertex. Find the angles. |
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Answer» Answer: Answer:We can use a formula to find the sum of the interior ANGLES of any POLYGON. In this formula, the letter n stands for the NUMBER of sides, or angles, that the polygon has. sum of angles = (n – 2)180° Let's use the formula to find the sum of the interior angles of a triangle. Substitute 3 for n. We find that the sum is 180 degrees. This is an important fact to remember. sum of angles = (n – 2)180° = (3 – 2)180° = (1)180° = 180° To find the sum of the interior angles of a quadrilateral, we can use the formula again. This time, substitute 4 for n. We find that the sum of the interior angles of a quadrilateral is 360 degrees. sum of angles = (n – 2)180° = (4 – 2)180° = (2)180° = 360° |
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