Question

ABCD is a rectangle AC is diagonal. Find the angles of AACD. Give reason​

Answer 1

Answer:

Angle=45°

Step-by-step explanation:

Draw the diagram.

So,

In the figure,

in ΔACD and ΔABC,

AC=AC (common)

AB=CD (opp. sides of a rectangle)

BC=AD (opp. sides of a rectangle)

therefore,

by SSS criteria,

they are congruent.

Therefore,

angle ACD= angle BCA.

angle ACD+ angle BCA= 90 (angle of a rectangle)

∴∠ACD=45°

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Answer 2

Step-by-step explanation:

In the figure,

∆ACD and ∆ABC

AC [common]

AB =CD [opp. sides of a Rectangle]

BC=AD[opp.sides of a rectangle]

By sss criteria

Therefore angle ACD =angleBCA

angle ACD +angle BCA =90°[angle of rectangle]

Therefore angle ACD=45°