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Question
In the adjoining figure, ABCD is a parallelogram. If ∠CAD = 36° and ∠ABC = 110°, then ∠BAC is ______.
Options
36°
34°
72°
74°
MCQ
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Solution
34°
Explanation:
In a parallelogram, adjacent angles are supplementary.
So, ∠A = 180° – ∠B
= 180° – 110°
= 70°
The diagonal AC splits ∠A into ∠BAC and ∠CAD.
So, ∠BAC = ∠A – ∠CAD
= 70° – 36°
= 34°
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