To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
Answer:
<h3>
m∠2 = 67°</h3>
Step-by-step explanation:
m║n ⇒ (9x + 2)° = 74° {Corresponding Angles}
(9x)° = 72°
x = 8
Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)
(5×8 - 1)° + 74° + m∠2 = 180°
39° + 74° + m∠2 = 180°
113° + m∠2 = 180°
m∠2 = 180° - 113°
m∠2 = 67°
You would write it out as y = 5x +2
Answer:
pink
Step-by-step explanation:
