Practicing Success
In the figure BCDE is a square and ABC is equilateral then ∠ADC is : |
45o 30o 60o 15o |
15o |
According to the question, ∠BCD = \({90}^\circ\) ∠ACB = \({60}^\circ\) So, ∠ACD = (\({90\; + \;60}^\circ\)) = \({150}^\circ\) AB = BC = AC (as ABC is an equilateral triangle) BC = CD = DE = EB (as it is a square) Hence, AC = CD = BC So, \(\Delta \)ACD is an isosceles triangle where AC = CD and ∠CAD = ∠ADC. Now, ∠ADC = (\({180\; - \;150}^\circ\))/2 = \({15}^\circ\) Therefore, ∠ADC is \({15}^\circ\). |