In ΔABC, 2∠A = 3∠B = 6∠C. What is the value of the largest angle among these three angles?
Answer & explanation
Correct answer: option 2
\(\angle\)A + \(\angle\)B + \(\angle\)C = 180
\(\angle\)A + \(\frac{2}{3}\)\(\angle\)A + \(\frac{1}{3}\)\(\angle\)A = 180
= (1 + \(\frac{2}{3}\) + \(\frac{1}{3}\))\(\angle\)A = 180
= 2\(\angle\)A = 180
= \(\angle\)A = 90
= \(\angle\)B = 60
= \(\angle\)C = 30
= Therefore, \(\angle\)A = \({90}^\circ\) is the value of the largest angle among these three angles.