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.
1 answer:
Answer:
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.
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