Math, asked by hemlatag061, 3 months ago

two angles of a quadrilateral are 97° and 123° if other two angles are equal find those angles​

Answers

Answered by Champion55
0

Given :

⬤ Two angles of Quadrilateral are 97 degree and 123 degree .

To Find :

⬤ All Angles .

Solution :

Let :

  • The Two angles be x and x .

Now :

As we know that , Sum of all angles of Quadrilateral is 180 degree . Hence ,

\sf{97+123+x+x=360^{\circ}}

97 + 123 + 2x = 360°

220 + 2x = 360°

2x = 360 - 220

2x = 140

x = 140/2

x = 70

Therefore , The Value of x is 70 .

Hence ,

One Angle = x

= 70

Second Angle = x

= 70

Therefore , The two angles are 70 and 70 .

Answered by ꜱᴄʜᴏʟᴀʀᴛʀᴇᴇ
1

Step-by-step explanation:

Let the Two angles be x and x .

As we know that , Sum of all angles of Quadrilateral is 180 degree . Hence ,

97+123+x+x=360∘

97 + 123 + 2x = 360°

220 + 2x = 360°

2x = 360 - 220

2x = 140

x = 140/2

x = 70

Therefore , The Value of x is 70 .

Hence ,

One Angle = x

= 70

Second Angle = x

= 70

Therefore , The two angles are 70 and 70 .

Hope this is helpful for you.

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