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.
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.