Question

3 The sum of two opposite angles of a quadrilateral is 172°. The other two angles of the quadrilateral are
equal. Find the equal angles.​

Answer 1

Given :

⬤ Sum of two Opposite angles of Quadrilateral is 172 degree .

To Find :

⬤ Other two equal Angles .

Solution :

Let :

• Two Equal Angles be x and x .

As we know that , Sum of all Angles of Quadrilateral is 360 degree . Hence ,

$\sf{172+x+x=360^{\circ}}$

172 + 2x = 360

2x = 360 - 162

2x = 188

x = 188/2

x = 94

Therefore , The Value of x is 94 .

Hence ,

One Angle = x

= 94

Second Angle = x

= 94

Check :

172 + 2(94) = 360°

172 + 188 = 360°

360° = 360°

Hence Checked .

Answer 2

Answer:

94°

Step-by-step explanation:

sum of all angles of a quadrilateral = 360°

sum of two opposite angles = 172

sum of the equal angles = 360 -172

one of the equal angle = 188/2

 = 94°