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Mathematics 9 Online
OpenStudy (anonymous):

What are the missing measures

OpenStudy (anonymous):

OpenStudy (mathstudent55):

How many sides does the polygon have?

OpenStudy (anonymous):

6...

OpenStudy (mathstudent55):

good What is the sum of the measures of all the angles of a polygon? Do you know the formula?

OpenStudy (anonymous):

517? and no i do not no the formula

OpenStudy (mathstudent55):

The formula is: The sum of the measure of the angles of a polynomial of n sides is (n - 2)*180 Just subtract 2 from the number of sides and multiply by 180 Your polynomial has 6 sides, can you find the sum of the measures of the angles?

OpenStudy (anonymous):

im confused.?

OpenStudy (mathstudent55):

Take the number of sides, 6 Subtract 2 from it. What do you get?

OpenStudy (anonymous):

4?

OpenStudy (mathstudent55):

good Now multiply 4 by 180. What do you get?

OpenStudy (anonymous):

720

OpenStudy (mathstudent55):

great. Now you know that the measures of all those angles in your figure added up equal 720.

OpenStudy (mathstudent55):

You add up all the measures given in the figure and set it equal to the sum you got from the formula: 4x + 135 + 120 + 125 + 3x + 130 = 720

OpenStudy (mathstudent55):

Now you need to solve the equation for x.

OpenStudy (anonymous):

how do you solve for X?

OpenStudy (mathstudent55):

Add 4x and 3x on the left side Add all the numbers on the left side

OpenStudy (mathstudent55):

What is 4x + 3x = ?

OpenStudy (mathstudent55):

What is 135 + 120 + 125 + 130 = ?

OpenStudy (anonymous):

4x+3x=7x and 135+120+125+130=510

OpenStudy (mathstudent55):

Great, so you have: 4x + 135 + 120 + 125 + 3x + 130 = 720 7x + 510 = 720 Now subtract 510 from both sides.

OpenStudy (mathstudent55):

|dw:1372199789503:dw| Now divide both sides by 7 to get x. Once you have x, multiply x by 3 and by 4 to get the 2 angle measures.

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