Question

If three angles of a quadrilateral are 70°, 83°,112°. Find the fourth angle​

Answer 1

We know that the sum of all the angles of a quadrilateral equals 360° .

According to the question, if three angles of a quadrilateral are 70°, 83° and 112° then let the fourth angle be x, so that

70° + 83° + 112° + x = 360°

or, 265° + x = 360°

or, x = 360° - 265°

or, x = 95°

The fourth angle of the quadrilateral measures 95° .

Answer 2

Answer:

We know that the sum of all the angles of a quadrilateral equals 360° .

According to the question, if three angles of a quadrilateral are 70°, 83° and 112° then let the fourth angle be x, so that

70° + 83° + 112° + x = 360°

or, 265° + x = 360°

or, x = 360° - 265°

or, x = 95°

The fourth angle of the quadrilateral measures 95°