Answer:

345 degrees

Step-by-step explanation:

To find the remaining angle measures, we must first understand that the sum of all angles in an octagon is equal to (n-2) * 180 degrees, where n is the number of sides or angles in the polygon. For an octagon, n=8, so the sum of all angles is (8-2) * 180 = 1080 degrees.

We also know that all angles in a regular octagon are congruent, or equal in measure. Therefore, we can divide the sum of all angles (1080 degrees) by the number of angles in the octagon (8) to find the measure of each angle.

Angle measure = 1080/8 = 135 degrees

Now that we know the measure of each angle in the octagon, we can find the remaining angle measures by subtracting the given angle measure (150 degrees) from 360 degrees, and then adding the result to each of the remaining angle positions in the octagon.

Angle 1 = 360 - 150 + 135 = 345 degrees

Angle 2 = 360 - 150 + 135 = 345 degrees

Angle 3 = 360 - 150 + 135 = 345 degrees

Angle 4 = 360 - 150 + 135 = 345 degrees

Angle 5 = 360 - 150 + 135 = 345 degrees

Angle 6 = 360 - 150 + 135 = 345 degrees

Angle 7 = 360 - 150 + 135 = 345 degrees

Therefore, all of the remaining angle measures in the octagon are 345 degrees.

Answer:

angel 7: 30°

”. 5: 150°

". 6: 30°

”. 3: 30

" 4:150

”. 1 : 150

". 2: 30

Step-by-step explanation:

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