The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.
What is an Angle?
An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.
The ∠BAC and ∠BCA are the interior angles of the triangle,
According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.
The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE
∠CBE = ∠BAC + ∠BCA
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