Question

Given square ABCD, find the following measures.АBEraDGiven thin the diOm AED=hij in blankmZACD= fill in blankhis...뿔g=45dl.

Answer 1

The angles of the four corners of the square are right angles, which means that they have a measure of 90º.

Each diagonal bisects the corner angles, this means that the diagonals divide the 90º angles into two equal angles:

`(90)/(2)=45º`

Each resulting angle measures 45º

The diagonals bisect each other so that they form 4 isosceles triangles.

The diagonals of the square are perpendicular, this means that the angles formed when they intersect each other are right angles. So the 4 central angles are right angles.

So you can conclude that the angles have the following measures:

∠AED= 90º

∠ACD= 45º