If a regular polygon has exterior angles that measure 36 each, how many sides does the polygon have?
1 answer:
To find this question's answer, we need to know that sum of the exterior angles of any given polygon is 360°. This is default and non-changeable.
Now we know that the sum of all exterior angles is 360°, the question says that one angle is equal to 36°.
When we divide them we get:
So, we found that there are 10 exterior angles.
Now we know that the sum of all exterior angles is 360°, the question says that one angle is equal to 36°.
When we divide them we get:
So, we found that there are 10 exterior angles.
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Answer:
Perimeter of the ΔDEF = 10.6 cm
Step-by-step explanation:
The given question is incomplete; here is the complete question with attachment enclosed with the answer.
D, E, and F are the midpoints of the sides AB, BC, and CA respectively. If AB = 8 cm, BC = 7.2 cm and AC = 6 cm, then find the perimeter of ΔDEF.
By the midpoint theorem of the triangle,
Since D, E, F are the midpoints of the sides AB, BC and CA respectively.
Therefore, DF ║ BC and
FD =
= 3.6
Similarly,
FE = 4 cm
And
DE =
= 3 cm
Now perimeter of ΔDEF = DE + EF + FD
= 3 + 4+ 3.6
= 10.6 cm
Perimeter of the ΔDEF is 10.6 cm.
