Question

plz help me with question

Answer 1

36 think so 10 be seen

Answer 2

Answer:

Step-by-step explanation:

I = interior angle

E = exterior angle

the sum of I and E is equal to 180 (they are supplementary).

the ratio of I to E is 4:1

this means that I = 4E

since I + E = 180 and I = 4E, you get:

4E + E = 180 which simplifies to:

5E = 180 which results in:

E = 36 degrees

since the sum of the exterior angles of a polygon is equal to 360 degrees, you divide 360 by 36 to get the number of sides of the polygon.

360/36 = 10 which means the polygon has 10 sides which makes it a decagon.

 

working back from the knowledge that the polygon is a decagon, we can use the formula for the interior angle of a polygon to find the interior angle which should be equal to 180 - 36 = 144 degrees.

the formula for the interior angles of a polygon is:

I = 180(n-2)/n

since the decagon has 10 sides, this formula becomes:

I = 180(8)/10 which is equal to 1440/10 which is equal to 144 degrees.

Since I = 144, E = 180 - 144 = 36 degrees.

Decagon is confirmed.

One last confirmation:

ratio of I to E is 4:1

144:36 is the same as 4:1 because 4*36 = 144.