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23 March, 01:08

What is the measure of one of the interior

angles of the regular quadrilateral?

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Answers (2)
  1. 23 March, 01:16
    0
    90 degrees
  2. 23 March, 03:13
    0
    Measure of one of the interior angles ⇒ 90°

    Step-by-step explanation:

    If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;

    Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;

    So if all these angles are ≅, we can claim that;

    m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles

    x + x + x + x = 360 degrees (°),

    4x = 360°,

    x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,

    Solution; Measure of one of the interior angles⇒ 90°
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