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.

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:

$\displaystyle S=(n-2)\cdot180^{\circ}$

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 $\displaystyle x$ is the measure of the larger angles and $\displaystyle y$ is the measure of the smalar angle.

Then $\displaystyle 5x+y=720~\&~x=y+72$

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.

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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