Question

n a farmer’s pentagonal field, when
interior angles are put in increasing order, each
differs from the next by 25°. Find the measure of
the smallest interior angle of the field to the nearest
.1 degree.

Answer 1

Alright. The measure of the sum of the interior angles in a polygon are found by using \((n - 2)180\). THis gives you 540 since there are 5 sides. That means that these angles have to add up to 540. Let the smallest unknown be x and each increasing angle, add 25.
x + x + 25 + x + 50 + x + 75 + x + 100 = 540
Solve for x and that is your answer :)

Answer 2

Ahh alright thank you.

Answer 3

np :)

Answer 4

Is the answer 58?

Answer 5

Yup :)

Answer 6

Thanks :D

Answer 7

You're welcome :D