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DIA [1.3K]
3 years ago
5

Mhanifa can you please help? This is due asap!

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

(2)

RSTV is a quadrilateral

Interior angles of a quadrilateral sum to 180

<u>Sum of given angles:</u>

  • 2n + 6n + 2n + 5n = 180°
  • 15n = 180°
  • n = 12°

<u>The angles are:</u>

  • 2*12°= 24°, 6*12° = 72°, 2*12° = 24°, 5*12° = 60°

(3)

<u>Sum of angles of a regular 18-gon:</u>

  • S = 180°(18 - 2) = 2880°

<u>Each interior angle is:</u>

  • 2880°/18 = 160°

(4)

<u>Sum of interior angles of a convex heptagon (7-sided polygon):</u>

  • S = 180°(7 - 2) = 900°

(5)

Sum of exterior angles of any polygon is 360°

<u>Each exterior angle of a regular nonagon (9-sided polygon) is:</u>

  • 360°/9 = 40°

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