Question

In a geometric proof, which statement represents the Angle Addition Postulate?

A) m∠EXG = m∠HYK
B) m∠1 + m∠2 = m∠3 + m∠4
C) m∠4FXG = m∠1 + m∠2
D) m∠HYK = m∠3 + m∠4

Answer 1

In a geometric proof, the Angle Addition Postulate states that the sum of the measures of two angles is equal to the measure of the larger angle.

Step-by-step explanation:

The Angle Addition Postulate states that the sum of the measures of two angles is equal to the measure of the larger angle. In this case, the statement that represents the Angle Addition Postulate is option D: m∠HYK = m∠3 + m∠4.

This statement states that the measure of angle HYK is equal to the sum of the measures of angles 3 and 4. This aligns with the Angle Addition Postulate which states that when two angles are adjacent, their measures can be added together to find the measure of the larger angle.