In Eleanor's drawing, the measure of ∠FMD is 15, and the measure of ∠BMC is 30. What is the measure of ∠CMD?
To find the measure of ∠CMD, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the interior angles of a triangle is 180 degrees.
Since we know that ∠FMD is 15 degrees and ∠BMC is 30 degrees, we can find the measure of ∠CMD by subtracting the sum of these angles from 180 degrees:
∠CMD = 180 - (∠FMD + ∠BMC)
∠CMD = 180 - (15 + 30)
∠CMD = 180 - 45
∠CMD = 135
Therefore, the measure of ∠CMD is 135 degrees.