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

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

Explanation:

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),

degree

⇒ and are supplementary angles.

What is the missing step in the given proof?

Statement: m∠4 = m∠16

Reason: Transitive Property of Equality

Explanation:

PLATO

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step-by-step explanation: