Find the measure of each angle in the quadrilateral:

Angle S= 2x+20

Angle R=3x-20

Angle Q= x+10

Angle T= 2x

P.S= explain how you did it because i couldn't understand how to.

Thanks. (Happy)

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- Dec 7th 2009, 02:58 PMrebecca12345Find the measure of each angle in the quadrilateral.
Find the measure of each angle in the quadrilateral:

Angle S= 2x+20

Angle R=3x-20

Angle Q= x+10

Angle T= 2x

P.S= explain how you did it because i couldn't understand how to.

Thanks. (Happy) - Dec 7th 2009, 03:45 PMGusbob
The four angles of a quadrilateral always add up to 360°.

So by adding all the angles given, we have:

$\displaystyle \angle S + \angle R + \angle Q + \angle T = (2x + 20)^\circ + (3x - 20)^\circ + (x + 10)^\circ + (2x)^\circ = 360^\circ$

$\displaystyle 8x + 10 = 360$

Now just solve for x. Once you've done that the angles should be an easy substitution and calculation. - Dec 8th 2009, 11:46 AMrebecca12345
i did that and i got a decimal answer..i dont know what i did wrong

- Dec 10th 2009, 06:46 AMGusbob
There is nothing wrong with decimals. Not every angle can have a nice integer value.