The interior angle of regular polygon with 12 sides

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

  1. The formula for the measure of each interior angle of a regular polygon with n sides is given by

    Angle = (n - 2) × 180° / n

  2. Substitute the number of sides, n = 12, into the formula

    Angle = (12 - 2) × 180° / 12

  3. Simplify the expression

    Angle = 10 × 180° / 12
    Angle = 1800° / 12
    Angle = 150°

    The interior angle of a regular polygon with 12 sides is 150°.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QThe exterior angle of a regular polygon is 72 determine the number of sides of the regular polygonQThe interior angle of a regular polygon is twice its exterior angle. How many sides does the polygon…QFour interior angles of an irregular polygon are 163°, 130°, 137°, and 165° while the rest are 133°…QA regular polygon has one of its interior angles as 144°. a) Name the polygon. b) Find the number of…QCalculate the interior angle of a regular pentagon.
Browse by topic:Geometry
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.