Question

In a polygon the outer angle at one vertex is 3 times the inner angle at that vertex. Find the angles.​

Answer 1

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°