Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° × (n - 2) ← n is the number of sides
Here n = 8 ( octagon ), hence
sum = 180° × 6 = 1080°
let the measure of 1 congruent angle be x
Then sum the 8 angles and equate to 1080
100 + 120 + 140 + 5x = 1080
360 + 5x = 1080 ( subtract 360 from both sides )
5x = 720 ( divide both sides by 5 )
x = 144
Thus each of the 5 congruent angles is 144°
Answer:
k= 1/5
Step-by-step explanation:
x is proportional to y
x = ky (k is const.)
k = x/y
k= 5/25
k = 1/5
Answer:
78%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
% increase= 35.8/46 *100= 77.82=78 %
if two triangles are similar then they are congruent
Answer:
13 and 77 degrees
Step-by-step explanation:
Complementary = 90 degrees
Set an angle to x
x+(x+64)=90
2x+64=90
2x=26
x=13
angle measures: 13, 77 degrees