theyenvyck theyenvyck
  • 12-06-2022
  • Mathematics
contestada

The diagram shows a star made by surrounding a
regular octagon with triangles.
Explain why angle a must be 135°.
a

The diagram shows a star made by surrounding a regular octagon with triangles Explain why angle a must be 135 a class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-06-2022

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

an octagon has 8 sides , then

sum = 180° × 6 = 1080°

the octagon has 8 congruent interior angles , then

a = 1080° ÷ 8 = 135°

Answer Link
suspho9
suspho9 suspho9
  • 12-06-2022

Answer:

Step-by-step explanation:

the formula to calculate the sum of interior angles of a polygon is given by (n - 2) × 180°.

So, since the octagon has 8 sides, the sum of the interior angles will be (8 - 2) × 180° = 1080°.

1080 : 8 = 135°

Answer Link

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