The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

Measure of 7 angles is 144 degrees each and measure of 8th angle is 72 degrees.

Step-by-step explanation:

An octagon is an 8-sided polygon. We are given that 7 angles of the octagon have the same measure while one angle is 1/2 times (i.e. half of the other angles). So if each of the 7 angles measure x degrees, the measure of 8th angles would be x/2 degrees.

The sum of internal angles of a polygon can be calculated as:

180(n-2), where n is the number of sides of the polygon. So for an octagon n=8, therefore the sum of internal angles of octagon would be:

180(8-2)= 180 x 6 = 1080 degrees.

We can write the equation as:

Sum of internal angles of octagon = 1080

This means, 7 of the angles measure 144 degrees and one angle measures 144/2 = 72 degrees.

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet