Answer: x=
3
/5
y+
−13
/10
Step-by-step explanation:
The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°
54-48=6 so you need to find what percent 6 is of 48. 48 x 0.06= 2.88 so it increased by 2.88%
