3 years ago

Work out the size of an exterior and an interior angle of a regular 20-sided polygon.

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

Answer

Exterior,18°

Interior,162°

Step-by-step explanation:

To calculate exterior,360°÷no of sides, i.e

360°÷20=18°

Interior is gotten by 180°-exterior angle

180°-18°=162°

You might be interested in

PLEASE HELP!!! ASAP!!!!!!!!!!!!!!! 10 POINTS

I am Lyosha [343]

$1800|2\\.\ 900|2\\.\ 450|2\\.\ 225|5\\.\ \ 45|5\\.\ \ \ 9|3\\.\ \ \ 3|3\\.\ \ \ 1|\\\\1880=2\cdot2\cdot2\cdot5\cdot5\cdot3\cdot3=2^3\cdot5^2\cdot3^2\\\\Answer:\ \boxed{2^3\cdot3^2\cdot5^2}$

$\sqrt[3]{320}\\\\320|2\\160|2\\.\ 80|2\\.\ 40|2\\.\ 20|2\\.\ 10|2\\.\ \ 5|5\\.\ \ 1|\\\\320=2\cdot2\cdot2\cdot2\cdot2\cdo2\cdot5=2^3\cdot2^3\cdot5=2^3\cdot2^3\cdot\\\\\sqrt[3]{320}=\sqrt[3]{2^3\cdot2^3\cdot5}=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}\cdot\sqrt[3]{5}=2\cdot2\sqrt[3]{5}=4\sqrt[3]5\\\\Answer:\ \boxed{\sqrt[3]{320}=4\sqrt[3]{5}}$