Math, asked by nehu215, 7 months ago


{\huge{\mathfrak{\underbrace{\blue{Qᴜᴇsᴛɪᴏɴ-;}}}}}
''sᴏʟᴠᴇ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ''

❥︎ɴᴏ ᴄᴏᴘʏ/ɴᴏ sᴘᴀᴍ
❥︎ɴᴇᴇᴅ ǫᴜᴀʟɪᴛʏ
❥︎30❤︎+ғᴏʟʟᴏᴡ- ɪɴʙᴏx​

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Answers

Answered by mrudula2005
1

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

Answered by itzshrutiBasrani
39

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°.

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