Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

Answer with Step-by-step explanation:

Regular polygon: That polygon in which all angles are equal in measure.

Measure of interior angles of polygon=

Where n=Number of sides

1.Triangle:Number of sides=3

Measure of each interior angle=

2.Quadrilateral:Number of sides=4

Measure of  each interior angle=

3.Pentagon:Number of sides=5

Measure of  each interior angle=

4.Octagon:Number of sides =8

Measure of  each interior angle=

5.

Number of sides of decagon=10

Measure of  each interior angle=

6.30-gon: Number of sides=30

Measure of  each interior angle=

7.50-gon: Number of sides=50

Measure of  each interior angle=

8.100-gon:

Number of sides=100

Measure of  each interior angle=

yeet

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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