ABCD is a rectangle AC is diagonal.find the angles of triangleACD.Give Reasons.

To find the angles of triangle ACD in the given rectangle ABCD, we can make use of the properties of rectangles.

A rectangle is a type of quadrilateral in which all angles are right angles (90 degrees). In this case, since ABCD is a rectangle, angle ABC and angle BCD are both right angles.

Now, since AC is a diagonal of the rectangle, it divides the rectangle into two congruent right triangles: triangle ACD and triangle ABC.

Since angle ABC is a right angle, it measures 90 degrees.

Using angle sum property of a triangle, the sum of the angles in a triangle is always 180 degrees. Therefore, in triangle ACD, the sum of angles ACD, CAD, and CDA is 180 degrees.

Since angle ACD and angle CAD are right angles (as explained earlier), their sum is 90 degrees.

To find angle CDA, we can subtract the sum of angle ACD and angle CAD from 180 degrees:

Angle CDA = 180 degrees - (angle ACD + angle CAD)

Substituting the known values, we have:

Angle CDA = 180 degrees - (90 degrees + 90 degrees)
= 180 degrees - 180 degrees
= 0 degrees

Therefore, angle CDA is 0 degrees.

To summarize:
- Angle ABC = 90 degrees (right angle)
- Angle ACD = 90 degrees (right angle)
- Angle CAD = 90 degrees (right angle)
- Angle CDA = 0 degrees

Note: It is important to consider the properties of rectangles and triangles to understand the angles, their measures, and the reasoning behind them.

can't be done unless you know the ratio of AB to BC