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Question
AD ⊥ BC, AB = 13 cm, BD = 12 cm, DC = 5 cm
angle y = ______.

Options
60°
30°
45°
none of these
MCQ
Fill in the Blanks
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Solution
angle y = 45°.
Explanation:
In ΔADC, since AD = DC = 5 cm, it is an isosceles right-angled triangle.
The two equal angles, ∠DAC and ∠DCA, are each 45°.
so angle y = ∠DAC = 45°
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