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Answers
Answer:
Step-by-step explanation:
Property of square : Diagonals in the square are angle bisectors.
1. Since we know, angle of square is 90 degrees
Hence, <OAB = <OBA = 45 degrees
As per the property of isosceles triangle, opposite angles of equal sides of a triangle is equal; converse is also true.
Hence triangle OAB is an isosceles triangle.
2. <XOD = 180 - <DXO - <XDO = 180 - 78 - 45 = 57 degrees
3. <XOC = 180 - <XCO - <CXO = 180 - 45 - (180-78) = 180 - 45 - 102 = 42 degrees
Answer:
In triangle OAB
OA=OB (diagonals bisects each other)
two of its side is equal so,it is an isosceles triangle
angle COD=90°(diagonals of square)
angle XOD=½angle COD
XOD=½×90°
=45°
similarly, angle XOC=45°
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