If,in a parallelogram PQRS,ANGLE P=x-30' and angle q=y+20',then what is x+y equal to?
Answers
Answered by
6
Step-by-step explanation:
Given:-
P= x-30 , Q= y+20
It is a Parallelogram and it's adjacent angles are equal to 180.
So, x-30+y+20= 180
x+y= 180+10
x+y= 190
HOPE IT HELPED YOU...........
Answered by
0
Angle P= x-30
angle Q= y+20
Now we know that the opposite angles of a parallelogram are equal..
so, angle P= angle R = x-30
angle Q= angle S= y+20
Now the sum of all the angles of parallelogram is 360°
angle(P+Q+R+S)= 360°
x-30°+y+20°+x-30°+y+20°=360°
2x+2y-60°+40°=360°
2x+2y-20°=360°
2x+2y=360°+20°
2x+2y=380°
2(x+y)=380°
so, x+y= 380°/2
therefore x+y=190°(ANSWER)
hope it helps mate!!!
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