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Sagot :
Step-by-step explanation:
Interior angle + Exterior angle = 180°.
Size of Interior angle = 180° - 360°/n.
Question 32:
Exterior angle = 72°
Interior angle = 180° - 72° = 108°.
Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.
Question 33:
Exterior angle = 36°
Interior angle = 180° - 36° = 144°.
Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.
Answer: 32.) 108°. 5 sides
33.) 144°. 10 sides
Step-by-step explanation:
To find an interior angle subtract the given exterior angle from 180.
180 - 72 = 108
180 - 36 = 144
To find the number of sides of a regular polygon, divide 360 by the exterior angle.
360/72 = 5
360/36 = 10
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