This jewelry box has the shape of a regular pentagon. it is packaged in a rectangular box as shown here. the box uses two pairs of congruent right triangles made of foam to fill its four corners. find the measure of the foam angle marked.

72°

Step-by-step explanation:

The measure of each interior angle of an regular n-gon is given by:

Each interior =

So each interior of the pentagon will be  

Now we can see that the angle x is supplementary to interior angle of pentagon. So that means angle x and interior angle of pentagon add up to 180, so we can write:

108 + x = 180

x = 180 - 108 = 72

72 degrees is the right answer.

answer: the correct one is a

step-by-step explanation:

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,