SOLUTION: a polygon has n sides.two of its angles are right-angles.each of the remaining angles is equal to equal to 150 degrees.calculate n.
Algebra.Com
Question 185442: a polygon has n sides.two of its angles are right-angles.each of the remaining angles is equal to equal to 150 degrees.calculate n.
Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
For a polygon of n sides, the sum of all angles is 180n – 360 degrees
We are given that two sides are 90 degrees and the remainder are 150 degrees
Therefore 180n – 360 = 150(n – 2) + 90 x 2 = 150n – 300 + 180
180n = 150n + 360 + 180 – 300
30n = 240
n = 8
Therefore it is an octagon with six angles 150 degrees and two right angles.
RELATED QUESTIONS
A polygon has n sides. Two of its angles are right angles. Each of the remaining angles... (answered by Alan3354)
A polygon has n sides. Two of its angles are right angles and each of the remaining... (answered by DrBeeee,josgarithmetic)
a polygon has n side. one of its interior angles is 126 degrees while other angles each... (answered by Alan3354)
A polygon of n sides has a half its interior angles equals to 150 degrees.while the rest... (answered by ikleyn)
A polygon has n sides. Two of its exterior angles are 72 and 35 while the remaining... (answered by Alan3354)
in an n-sided polygon, two angles are right angles and each of the remaining angles is... (answered by htmentor)
a polygon has n side. one of its interior angles is 126 degrees while other angles each... (answered by Alan3354)
A polygon has n sides. Four of its exterior angles are 12, 25, 32 and 41 and the... (answered by scott8148)
A polygon has n sides.If one of its interior angles is 84° and the other interior angles... (answered by Edwin McCravy)