# Find the measure of each angle in the quadrilateral.

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• Dec 7th 2009, 02:58 PM
rebecca12345
Find 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 PM
Gusbob
The four angles of a quadrilateral always add up to 360°.

So by adding all the angles given, we have:

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

$8x + 10 = 360$

Now just solve for x. Once you've done that the angles should be an easy substitution and calculation.
• Dec 8th 2009, 11:46 AM
rebecca12345
i did that and i got a decimal answer..i dont know what i did wrong
• Dec 10th 2009, 06:46 AM
Gusbob
There is nothing wrong with decimals. Not every angle can have a nice integer value.