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  1. If in ∆ ABC, ∠B = 5 ∠C and ∠A = 3∠C, then the measure of ∠C is
    1. 45°
    2. 30°
    3. 20°
Correct Option: C

According to question,
In a triangle ABC,
Given , ∠B = 5∠C; and ∠A = 3∠C
∴ ∠A + ∠B + ∠C = 180°
⇒ 3∠C + 5∠C + ∠C = 180°
⇒ 9∠C = 180°

⇒ ∠C =
180°
= 20°
9



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