If M is in the interior of ∠RTD, m∠RTM = 40°, and m∠RTD = 65°, then m∠MTD = .

MTD = 75

Step-by-step explanation:

RTD + RTM + MTD = 180

     65 + 40 + MTD = 180

            105 + MTD = 180

Subtract 105 from both sides.

                      MTD = 75

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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)