Question

How many sides does a regular polygon have if the measure often exterior angle have
a..90⁰
b..60⁰

I need step by step explanation!!

Or ur answers will be reported :(​

Answer 1

Explanation:

Let's consider that two consecutive positive integers are x & (x + 1).

★According to the given Question.

⟹x² +(x+1)² =365

⟹x² +x² +1+2x=365

⟹2x² +2x² =365−1

⟹2x² +2x−364=0 (Taking 2 common)

⟹x² +x−182=0

Using splitting the Middle term method :

⟹x² + 14x - 13x = 182 =0

⟹x (x + 14) - 13 (x+ 14) =0

⟹(x - 13) (x + 14) =0

⟹x - 13 =0

⟹x - 13

⟹x + 14 = 0

⟹x = -14

★Finding numbers

First number (x) = 13

Second number (13 + 1) = 14

∴ Two positive consecutive numbers are 13 & 14.

Answer 2

Answer:

a) Exterior angle 60 therefore interior angle at that point 180 - 60 = 120

Figure is a hexagon (Internal angles = 12 - 4 right angles or 720 degrees) ?All polygons have exterior angles that sum to 360 degrees. An exterior angle of a polygon is found by "extending" one of the sides and measuring the angle between that extension and the "next" side. As the polygon in question is regular and has exterior angles of 60 degrees, it has 360/60 sides, or 6 sides