Question

in a quadrilateral ABCD all interior angles are of equal measure.Find the measure of each of its exterior angle.

Answer 1

Answer:

270 each exterior angle

Step-by-step explanation:

Answer 2

Answer: 90°

Step-by-step explanation:-

Let interior angles be x

All angles are equal hence,

x + x + x + x = 360° ( sum of all angles of a quadilateral is 360°)

4x = 360°

x = 360° ÷ 4

x = 90°

Therefore measure of interior angles is 90°

We can now find measure of exterior angles

Let exterior angle be x

Interior angle + exterior angle = 180°(linear pair)

90° + x = 180°

x = 180° - 90°

x = 90°

Measure of all exterior angles is 90°