While on vacation at the beach, Eleanor drew the figure shown.In Eleanor's drawing, the measure of ∠FMD is 15°, and the measure of ∠BMC is 30°.What is the measure of ∠CMD ? Enter your answer in the box.

Question

While on vacation at the beach, Eleanor drew the figure shown.In Eleanor's drawing, the measure of ∠FMD  is 15°, and the measure of ∠BMC  is 30°.What is the measure of ∠CMD ? Enter your answer in the box.

GPT 3.5 · Answer

The sum of the angles in a triangle is always 180°. Therefore, we can calculate the measure of ∠CMD as follows:

∠FMD + ∠BMC + ∠CMD = 180°
15° + 30° + ∠CMD = 180°
45° + ∠CMD = 180°
∠CMD = 180° - 45°
∠CMD = 135°

Therefore, the measure of ∠CMD is 135°.