The exterior angle is always supplemental (adds up to 180°). So if the interior angle is 135°, the exterior angle will be 45°. This is because an exterior angle is formed by extending one side out and measuring the new exterior angle.
Answer:
b. no; measure of interior angle = 135°
Step-by-step explanation:
A regular polygon can only tessellate the plane when its interior angle divides 360 degrees.
The polygons that tessellate are - the square, the equilateral triangle, and the regular hexagon.
The octagon cannot tessellate because its internal angle does not divide 360 degrees. Tessellation means an arrangement of polygons in a repeated pattern without overlapping.
The internal angle of an octagon is 135 degrees. When we divide 360 by 135 we get,
[tex]\frac{360}{135}= 2.66[/tex] Its not a complete number this is why octagons do not tessellate.
