Question

)
In a rectangle ABCD, one diagonal is inclined to one of its sides at 25° as shown in the
following figure. Find the measure of ZAOB.
125°
A
B​

Answer 1

Answer: 130°

Step-by-step explanation:

∠DCO=25° (Because opposite angles of isosceles triangle are equal)

25°+25°+DOC°=180  (angle sum property)

∠DOC=180-25-25

∠DOC=180-50

∠DOC=130°

∠AOB=130° (vertically opposite angle)

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Answer 2

Answer:

In △BOC,

∠OBC=∠OCB ----- (Opposite angle of isosceles triangle)

∠OBC+∠OCB+∠BOC=180∘

25∘+25∘+∠BOC=180∘

Therefore, ∠BOC=130∘

So, ∠AOB+∠BOC=180° --------(Linear pair)

∠AOB=180∘ −130∘

∠AOB=50∘