Confusing questions - angles in polygons

• Nov 5th 2012, 10:48 AM
pinksquid112
Confusing questions - angles in polygons
I need some help on this maths question, it would be much appreciated -

Q. Five of the angles of a hexagon are eqaul to eachother and each is greater than the remaining angle by 72 degrees, find the size of the smallest angle.

Also this question-

Q.Th angles of a qaudrilateral taken in order are 2x , 3x 7x and 8x find the value of x and prove that two of the opposite angles are parallel

Cheers.
• Nov 5th 2012, 11:20 AM
MarkFL
Re: Confusing questions - angles in polygons
For both questions, it will be helpful for you to know the sum S of the interior angles of a polygon having n sides:

$S=(n-2)\cdot180^{\circ}$
• Nov 5th 2012, 12:42 PM
Plato
Re: Confusing questions - angles in polygons
Quote:

Originally Posted by pinksquid112
Q. Five of the angles of a hexagon are eqaul to eachother and each is greater than the remaining angle by 72 degrees, find the size of the smallest angle.

Suppose that $x$ is the measure of the larger angles and $y$ is the measure of the smalar angle.
Then $5x+y=720~\&~x=y+72$

Quote:

Originally Posted by pinksquid112
Q.Th angles of a qaudrilateral taken in order are 2x , 3x 7x and 8x find the value of x and prove that two of the opposite angles are parallel.

Angles are not parallel.
• Nov 8th 2012, 07:14 PM
Chalama123
Re: Confusing questions - angles in polygons
What is the greatest number of polygons you can form? What kind of polygon is formed?

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