Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

I Just Need Number 32 And 33 Please Show Work If You Can class=

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