Question

I just need number 32 and 33 please show work if you can​

Answer 1

Answer: 32.) 108°. 5 sides

33.) 144°. 10 sides

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

Answer 2

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.