The angle of a
quadrilateral
are
x, (x-10), (x+30) and 2x
angle of a
Find the angle
Answers
Answered by
4
Step-by-step explanation:
let,
A be x
B be x-10
C be x+30
and D be 2x
we know the sum of all the angles of a quadrilateral is 360degree
so,A+B+C+D=360
=x+x-10+x+30+2x=360
=2x-10+30+2x=360
=2x-40+2x=360
=4x=360+40
=4x=400
=x=400/4
=x=100
therefore
A=100°
B=100-10=90
C=100+30=130
D=2(100)=200
Thanks
hope it helps
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Answered by
1
Answer:
required angles are 68°, 58°,98°, 136°
Step-by-step explanation:
The angle of a quadrilateral are
x, (x-10), (x+30) and 2x
sum of angles of a quadrilateral= 360°
x + (x-10) + (x+30) + 2x= 360°
5x+ 20°= 360°
5x= 360°-20°
5x = 340
X = 340°/5
X = 68°
X -10°= 68°-10°=58°
X +30°= 68°+30°=98°
2 X = 2×68°= 136°
required angles are 68°, 58°,98°, 136°
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