Question

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?​

Answer 1

Question:-

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

Answer:-

Given:-

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

To Find:-

The measurement of the fourth angle.

Solution:-

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

$\therefore$ 85 ° + 54 ° + 96 ° + x = 360 °

$\therefore$ 235 ° + x = 360 °

$\therefore$ x = 360 ° - 235 ° = 125 °

The measurement of the fourth angle is 125 °. [Answer]