Question

Measure of exterior angle of a regular polygon is greater than the measure of one internal angle
Which is that regular polygon
What is the measure of one external angle
What is the measure of one internal angle


Please guys help me.....

Answer 1

Answer:

answer is i dont know

Answer 2

The triangle is the regular polygon which have exterior angle greater than its internal angle.
Measure of the exterior angle of a triangle = 120°.
Measure of the interior angle of a triangle = 60°

• We know that the sum of internal angle and exterior angle is equal to 180°.
• Now, when we consider an equilateral triangle the sum of all of its interior angles = 180°
  ∴ One angle = 180°/3 = 60°
• Now, Interior angle + Exterior angle = 180°
• 60° + Exterior angle = 180°
  Exterior angle = 180° - 60°
  Exterior Angle = 120°
• So, the exterior angles of a triangle = 120°
• Here, the measure of the exterior angle is greater than interior angle.

→ Now, if we start increasing the number of sides the exterior angle keeps on decreasing.
For example, for a square the interior and the exterior angles are equal = 90°
Also, if we see the example of a pentagon the interior angle is smaller than the exterior angle.

So, when we start increasing the number of sides of a polygon the interior angle keeps on increasing and the exterior angle keeps on decreasing.

So, triangle is the only regular polygon in which the exterior angle is greater than the interior angle.

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