Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees
Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides
Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°
An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees
Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120
This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees
Hope this helps :)
Answer:
<h2>6</h2>
Step-by-step explanation:

Answer:
C. Sqrt(12^2+9^2)
Step-by-step explanation:
Pythagorean theorem is
x^2+y^2=z^2
So solving for z
z=sqrt(x^2+y^2)
z=sqrt(9^2+12^2)
Step-by-step explanation:
(2(x+y)÷(x+y)(x-y) )×(x+y÷(x^2+2×x×2y+2y^2)
2÷x^2+2y^2