The relation of a right angle vertices interior and exterior is 1:4. Where we can work with other ratio that does not have right

Question

2 years ago

9

The relation of a right angle vertices interior and exterior is 1:4. Where we can work with other ratio that does not have right

angles, if comparing an exterior angle to an interior angle where a ratio 1:3 is found- how many sides does the polygon have.

Mathematics

2 answers:

Paraphin [41] · Answer 1 · 2022-04-02T07:59:24+03:00

Paraphin [41]2 years ago

8 0

Answer:1:3

Step-by-step explanation:

pochemuha · Answer 2 · 2022-04-02T06:36:25+03:00

Answer:

The picture just shows the beginning logic. We now know that we need to find a polygon with an interior angle that has a ratio of 1:3 with its exterior angle.

We can use this formula to find the number of sides of the polygon:

((n-2)×180)/n = 120

(n-2)×180 = 120n

180n - 360 = 120n

60n = 360

n = 6

We now know that the shape has 6 sides with 120 degree interior angles.

A shape with 6 sides is a hexagon.