A section of a roller coaster track forms a parallelogram ABCD.
If m∠ABC = 72°, what is m∠DAB?
Responses
A 144°144°
B 108°108°
C 216°216°
D 72°
Since opposite angles in a parallelogram are congruent, we know that m∠ABC = m∠CDA = 72°.
Therefore, m∠DAB + m∠CDA = 180° (since they form a linear pair).
Substituting in 72° for m∠CDA, we get:
m∠DAB + 72° = 180°
Subtracting 72° from both sides gives:
m∠DAB = 108°
So, choice B (108°) is the correct answer.