Question

Three angles of a quadrilateral are 50° 70 °and 100°, then the fourth angle is

We know, by angle sum property, the sum of angles of a quadrilateral is 360
o
.

The given angles are, 70°,95°,105°

Let the fourth angle be x°
Then, 70°+95°+105+x°=360°
⇒ 360°- (70°+95°+105°)=x∘
⇒ x°=360°−270°
=90∘
Therefore, the fourth angle is x°=90°​

Answer 1

Step-by-step explanation:

I had given solution in above pic

Answer 2

Three angles of a quadrilateral are 50° 70 °and 100°, then the fourth angle is

We know, by angle sum property, the sum of angles of a quadrilateral is 360

o

.

The given angles are, 70°,95°,105°

Let the fourth angle be x°

Then, 70°+95°+105+x°=360°

⇒ 360°- (70°+95°+105°)=x∘

⇒ x°=360°−270°

=90∘

Therefore, the fourth angle is x°=90°​