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❥︎30❤︎+ғᴏʟʟᴏᴡ- ɪɴʙᴏx
Answers
Step-by-step explanation:
4x-30=3x+5(in parallelogram opposite sides are equal)
4x-3x=5+30
x=35°
angle s=4(35)-30=110°
(in parallelogram opposite sides are equal)
so angle q=110°
sum of angles in a parallelogram is 360°
p+q+r+s=360
p+110+r+110=360
p+r+220=360
p+r=140
p=70°,r=70°
angles are s=110,q=110,p=70,r=70
Hey!!
Solution :
4x - 30° = 3x + 5° ( It is because in a parallelogram opposite sides are equal)
4x - 3x = 5 + 30.
x=35°.
angle S = 4 +(35) -30 = 110°. ( It is because in a parallelogram opposite sides are equal)
So angle q = 110°. ( It is because sum of angles in a parallelogram is 360°)
Therefore,
P+Q+R+S = 360°.
P + 110 + R +110 = 360
P + R + 220 = 360
P + R = 140°.
Therefore,
P = 70°, R = 70°.
Hence,
Angle S = 110°, Q= 110°
P = 70° R = 70°
___________
Verification:
110° + 110° + 70° + 70° = 360°
________________
Additional Information to be know :
Note that : It is a parallelogram.
Two properties to be used in the given question:
- In a parallelogram opposite sides are equal.
- Sum of a parallelogram is 360°.