Q5) If ABCD is a square then find the values of x, y and z.
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Answer:
ABCD is a rectangle. We know that the diagonals of the rectangle are equal and bisect each other.
⟹BD=AC and AO=BO=OC=OD
In △ABO,
∠OAB=∠OBA=50∘ ---Angles opposite to the equal sides in a triangle are equal.
In △AOB,
∠AOB+∠OAB+∠OBA=180∘ ---sum of interior angles of a triangle
∴∠AOB=x=180∘−50∘−50∘=80
Step-by-step explanation:
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