Question

$\angle CAD=\angle BAE$

State whether the above statement is true or false.

• A. True
• B. False

Answer 1

The correct option is A True

Given: $△$s ABD and CAE are equilateral triangles.
$\angle CAD=\angle CAB+\angle BAD$
$\angle CAD=\angle CAB+60$ (I)
$\angle BAE=\angle BAC+\angle CAD$
$\angle BAE=\angle BAC+60$ (II)
Thus, from I and II
$\angle CAD=\angle BAE$ ($\angle BAC=\angle CAB$ (Common angles))