1 answer:
Answer:
m < ANM = 36 degrees.
AM = 9.40 cm to the nearest hundredth.
Perimeter = 94.05 cm to the nearest hundredth.
Step-by-step explanation:
As we have a regular pentagon:
m < ANB = 360 / 5
= 72 degrees
So m < ANM = 1/2 * 72
= 36 degrees.
In the triangle ANM, AN = 16 so
sin 36 = Am / 16
AM = 16 sin36
= 9.4045 cm.
AB = 2 * AM = 18.809 cm
So as all sides are equal:
Perimeter = 5 * 18.809
= 94.05 cm.
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