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°
There is an X intercept at x=-8
There is a y intercept at y=4 (0,4)
Answer:
<ADC = 131
Step-by-step explanation:
< ADC = <ADB + < BDC
The large angle is the sum of the two smaller angles.
<ADC = 89+42
=131
To find x:
use the formula: cos° = adajcent/hypo
cos 37° = x/ 16
answer: 12.8
The other length:
use the same formula
cos 57° = y/16
answer: 8.7
(hope this helps)