Question

The following statements about $\Delta ABC$ are true: $\angle C>\angle B,\angle B>\angle A$ and $\angle A>{40}^{\circ }$. According to the given statements which of the following are the angle measures of $\Delta ABC$ ?

• A. $\angle A={48}^{\circ }$
  $\angle B={78}^{\circ }$
  $\angle C={54}^{\circ }$
• B. $\angle A={48}^{\circ }$
  $\angle B={54}^{\circ }$
  $\angle C={78}^{\circ }$
• C. $\angle A={36}^{\circ }$
  $\angle B={54}^{\circ }$
  $\angle C={90}^{\circ }$
• D. $\angle A={60}^{\circ }$
  $\angle B={60}^{\circ }$
  $\angle C={60}^{\circ }$

Answer 1

Answer: (B)

$\angle A={48}^{\circ }$

$\angle B={54}^{\circ }$
$\angle C={78}^{\circ }$
Given $\angle C>\angle B$ and $\angle B>\angle A$

$\Rightarrow \angle C>\angle B>\angle A$

Option $B$ and $C$ both follow the increasing order of angles

But in $C$ $\angle A={36}^{\circ }$ but it is given $\angle A>{40}^{\circ }$

So it is not correct.

Hence option $B$ is correct.