In the figure, □ABCD is a rectangle with angle ADB = 60°. Find angle BAC.
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Construction: Join B and D. This forms a right triangle ADB.
From the figure, we can say that angle B is 50 deg [opposite angles in a cyclic quadrilateral are supplementary]
Consider triangle ACB.
Angle ACB is 90 deg [ angle in a semicircle is 90 deg]
Angle ABC is 50 deg
So, angle BAC is 40 deg [angle sum property of a triangle].
Angle BAC is 40 deg.
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in rectangle ABCD , angle ADB = 60degree
here we can see that DSA is a triangle
the applying angle sum property of triangle=
abgle SDA + angle SAD + angle DSA =180 degree
60 + 45 + angle DSA = 180
105 + angle DSA = 180
angle DSA =180 - 105 = 75 degree
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