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  1. In triangle ABC, ∠ BAC = 75°, ∠ABC = 45°.BC is produced to D. If ∠ ACD = x°, then x/3 % of 60° is
    1. 30°
    2. 48°
    3. 15°
    4. 24°
Correct Option: D

As per the given in question , we draw a figure of a triangle ABC

Given that , ∠ BAC = 75°, ∠ABC = 45° , ∠ ACD = x°
As we know that sum of three angles of triangle is 180°
∠ ACB = 180° – 75° – 45° = 60°
∠ ACD = 180° – 60° = 120° = x

x
% of 60° = 60 ×
120
= 24°
3300



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