The measure of interior angle of quadilateral are an APwith common difference 20 .find the measure of each angle?
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Quadrilateral had a total angle of 360 degrees
So, The total of 4 terms is 360.
Let the 4 angles be a, a+d, a+2d, a+3d as they are in a.p....
we say, a+(a+d)+(a+2d)+(a+3d)=360 => 4a+6d=360
Given that d=20
So, 4a+6*20=360
4a=360-120
4a=240
=>a=60
so the angles would be likewise
So, The total of 4 terms is 360.
Let the 4 angles be a, a+d, a+2d, a+3d as they are in a.p....
we say, a+(a+d)+(a+2d)+(a+3d)=360 => 4a+6d=360
Given that d=20
So, 4a+6*20=360
4a=360-120
4a=240
=>a=60
so the angles would be likewise
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