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:

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 is the measure of the larger angles and is the measure of the smalar angle.

Then

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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