All of the following are equivalent except 180 - m∠3 m∠2 + m∠6 180 - m∠7 m∠7 + m∠6

m∠7 + m∠6

Step-by-step explanation:

180 - m∠3

This is equal to m<4

m∠2 + m∠6

The opposite interior angles of a triangle are equal to the exterior angle

This is equal to m<4

180 - m∠7

This is equal to m<5 + m<6

If m and l are parallel, then m<5 + m<6 is equal to m<4 because the are opposite interior angles.

This is equal to  m<4

m∠7 + m∠6

This is equal to 180  - m<5

This is not equal to m<4

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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step-by-step explanation: