Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)
Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:
S=90
0
+90
0
+(n−2)144
0
.........(2)
Therefore setting (2) equal to (1) we get
(n−2)180
0
=90
0
+90
0
+(n−2)144
0
⇒(n−2)180
0
−(n−2)144
0
=180
0
⇒(n−2)(180
0
−144
0
)=180
0
⇒(n−2)(36
0
)=180
0
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
Answer:
Step-by-step explanation:
A, Y doesn’t change and X becomes negative
You need to add the area of a rectangle which is 99 by 72, and the area of a circle with a diameter of 72
99 * 72 = 7128
3.14 * (72/2)^2
3.14 * 36^2
3.14 * 1296
4069.44
7128 + 4069.44 = 11197.44