Finding the Angle Degree and How

Geometry Level 2

Lets say that angle A A in the example is 110 degrees. Here is the proof to H H in the example being 110 degrees as well. (Left side is statement and right side is reasoning)

X Y X \| Y Given
A = E A=E Alternative Angle Theorem
E = H E=H Vertical Angles Theorem
A = H A=H ?

Fill in the blank with the correct reason as to why angle A A is equal to angle H H .

Transitive Property of Equality Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Inequalities

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1 solution

Devon Kirby
Feb 9, 2016

The solution really depends on your vocabulary in math more than a formula of some type. The correct answer is Transitive property of equality because it is a simple as this: if a=b and b=c then a=c. It basically says that if angle A is equal to angle E, and angle E is equal to angle H, then angle A is equal to angle H. Therefore, if angle A is 110 degrees, so is angle H.

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