ABCD is a parallelogram. Find the measure of

Step-by-step explanation:

In the parallelogram, there is line that divides the shape into two pieces. This line is known as a transversal. A transversal can help you understand things when it comes to the measurement of angles. When dealing with a transversal, alternate interior angles are congruent. For example, ∠BDC and ∠DBA are alternate interior angles. ∠ADB and ∠CBD are also interior angles. Since, we know this, we can conclude that...

m∠DBA = 12°

m∠CBD = 38°

These angles also make up one angle which is ∠ABC. So, we can add 38 and 12 to get the measurement of this angle.

38 + 12 = 50

So, the measure of ∠ABC is 50°

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