Question

Select the correct statement for the following:
$A$: The angles of an equilateral triangle are equal.
$B$: Angles opposite to two congruent sides of a triangle are congruent.

• A. $A$ is a theorem and $B$ is its corollary
• B. $B$ is a theorem and $A$ is its corollary
• C. $A$ and $B$ are both theorems
• D. $A$ and $B$ are both corollaries

Answer 1

Answer: (B)

$B$ is a theorem and $A$ is its corollary

$B$ is called the Triangle theorem. $A$ can be proved using this theorem, as in an equilateral triangle, all sides are equal and the angles opposite to these congruent sides are Equal. So, $A$ is the corollary of $B$