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Question -

ABCD is a square. AC and BD intersect at O. State the measure of тИаAOB.



Answer -

The figure can be drawn as follows:
┬а
In┬а┬аand┬а,
┬а┬а(Sides of a square are equal)
┬а┬а(Diagonals of a parallelogram bisect each other)
┬а┬а(Common)
So, by SSS Congruence rule, we have
┬а
Also,
┬а (Corresponding parts of congruent triangles are equal)
But,┬а┬а┬а(Linear pairs)
We have,┬а
┬а
Hence, the required measure of┬а┬аis┬а┬а.

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