Given the regular polygon, what is the measure of each numbered angle? : )

Option C is the correct choice.

Step-by-step explanation:

We have been given an image of a regular polygon. We are asked to find the measure of each numbered angle.

First of all we will find the measure of each interior angle of our given polygon using formula:

, where n represents the sides of the regular polygon.

Since our polygon is a regular polygon with 10 sides, so each of its interior angle will be equal to:

Since each of the interior angle of our given decagon is divided into two parts, so the measure of angle 2 and unnumbered angle will be half the 144 degrees.

Therefore, the measure of angle 2 is 72 degrees.

By angle sum property all the angles of a triangle add up-to 180 degree, so we can find measure of angle 1 as:

Therefore, the measure of angle 1 is 36 degrees.

Upon looking at our given choices we can see that option C is the correct choice.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,