in a ∆abc if 2 angle a = 3 angle b = 6 angle c, what is the measure of each angle
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Answer:
30, 60, 90
Step-by-step explanation:
According to the condition in the △ABC, 2∠A=3∠B=6∠C
⇒∠A=3∠C and, ∠B=2∠C
Sum of interior angles of the triangle is 180
Hence ∠A+∠B+∠C=180
⇒3∠C+2∠C+∠C=180
⇒∠C=30
∴∠A=90
,∠B=60
,∠C=30
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