Question

If three angles of a quadrilateral are 90°, 50° and 110° then the measure of its fourth angle is:​

Answer 1

Answer⇲

➤ Solution. Required fourth angle =160°

$\: \:$

Answer 2

Given :

⬤ Three Angles of Quadrilateral are 90° , 50° and 110° .

To Find :

⬤ Measure of Fourth Angle of Quadrilateral .

Solution :

• First Angle = 90°
• Second Angle = 50°
• Third Angle = 110°

Let :

• Fourth Angle be = x

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

$\sf{90^{\circ}+50^{\circ}+110^{\circ}+x^{\circ}=360^{\circ}}$

250 + x = 360°

x = 360 - 250

x = 110

Therefore , The Value of x is 110 .

Hence , The Fourth Angle (x) of Quadrilateral is 110 degree .

Check :

90° + 50° + 110° + 110° = 360°

360° = 360

Hence Checked .