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3 December, 17:39

What is the sum of interior degrees for a 13-gon?

How many degrees in each angle for a regular 13-gon?

What is the sum of interior degrees for a 23-gon?

How many degrees in each angle for a regular 23-gon?

What is the sum of interior angles for a triangle?

What is the sum of interior angles for a quadrilateral?

What is one difference, and one similarity between a Square and a Rhombus?

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Answers (1)
  1. 3 December, 19:14
    0
    1980°

    152.3°

    3780°

    164.35°

    180°

    360°

    Step-by-step explanation:

    The sum of all the interior angles of a polygon is given by (n - 2) 180° where n is the number of sides.

    So, the sum of all interior angles of a 13-gon is (13 - 2) 180° = 1980° (Answer)

    As the 13-gon is regular, so each angles will be same. Assume each angle is x°.

    So, 13x = 1980, ⇒ x = 152.3° (Answer)

    Now, the sum of all interior angles for a 23-gon will be (23 - 2) 180° = 3780° (Answer)

    Again, as the 23-gon is regular, so each angles will be same. Assume each angle is x°.

    So, 23x = 3780, ⇒ x = 164.35° (Answer)

    The sum of all the interior angles of a triangle is 180° (Answer)

    The sum of all the interior angles of a quadrilateral is 360° (Answer)

    The similarity between a square and a rhombus is all the sides of both are same and the difference, between a square and a rhombus is that a square has every angle 90°, but the rhombus has no angle equal to 90°. (Answer)
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