Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = 
x = 
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = 
= 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
The numbers are 77 , 177 and 308 .
Numbers are the building blocks in mathematics. It is an arithmetic value that is used to represent a quantity. Real numbers , integers , natural numbers, whole numbers , irrational numbers are are various types of numbers.
Let us consider the first number to be x . Then the second number is 4x+100 , and the third number is 100 more than the first number. Therefore the the sum of the three numbers will be:
x+4x+(x+100)=6x+100
Now the sum of all the numbers is 562.
Therefore we can write a linear equation in x to find the values of x.
∴ 6x+100=562
or, 6x = 562 - 100
or, 6x = 462
or, x = 462 ÷ 6
or, x = 77
Therefore the second number is 4x = 4 × 77 = 308 and the third number is x + 100 = 77 + 100 = 177 .
So the numbers are 77 , 177 and 308 .
To learn more about numbers visit:
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Answer: the points from a line
Step-by-step explanation:
I just did the test
8 3-point shots and 13 2-point shots.
8x3 = 24, 13x2 = 26,
24+26= 50.
13+ 8 = 21
