What is the missing step in the given proof?

A newly education question and answer asked over students to mention what they ponder is the main important element for a student to do if they wanted to achieve success. The one which response stood out from the rest was practice. Persons who commonly are successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can attain your goals. beneath some question and answer examples that you can easily work with to enhance your knowledge and gain insight that will guide you to preserve your school studies.


What is the missing step in the given proof?

Statement: m∠4 = m∠15
Reason: Substitution Property of Equality
Statement: m∠4 + m∠8 = 180°
Reason: definition of supplementary angles
Statement: ∠7 and ∠8 are supplementary.
Reason: Linear Pair Theorem
Statement: m∠4 = m∠16
Reason: Transitive Property of Equality
Statement: ∠15 and ∠8 are supplementary.
Reason: Transitive Property of Equality


Answer: The missing step is Statement: ,  Reason: Transitive Property of Equality.


According to the given diagram ⇒ and (for parallel lines cut by transversal, corresponding angles are congruent)

——-(1) (definition of congruent angles)

and ———(2) (definition of congruent angles)

From equation (1) and (2) (Transitive Property of Equality)—(3)

Now, By linear pair theorem, and are supplementary angles.

Therefore,   degree ——(4)

From equation (4) and (3),


and are supplementary angles.

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