3 The sum of two opposite angles of a quadrilateral is 172°. The othe

1.	3 The sum of two opposite angles of a quadrilateral is 172°. The other two angles of the quadrilateral areequal. Find the equal angles.
Answer» 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 .

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

Answer»

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

⬤ Other two equal Angles .

Let :

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 .

One Angle = x

= 94

Second Angle = x

= 94

172 + 2(94) = 360°

172 + 188 = 360°

360° = 360°