In a parallelogram, the difference of two adjacent angles is 40°. Find the measure of the smaller angle.
70°
In a parallelogram, any two adjacent angles are supplementary, so their sum is \(180^\circ\).
Let the two adjacent angles be \(x\) and \(y\) with \(x + y = 180^\circ\) and \(x - y = 40^\circ\).
Adding the two equations: \(2x = 220^\circ\), so \(x = 110^\circ\).
Then \(y = 180^\circ - 110^\circ = 70^\circ\), which is the smaller angle.
Hence, the smaller angle measures \(70^\circ\).
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