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Order the angle measures m∠B, m∠C, and m∠D from least to greatest.(Note that the figure is not drawn to scale.)BCD674

Question

Order the angle measures

Order the angle measures m∠B, m∠C, and m∠D from least to greatest.

(Note that the figure is not drawn to scale.)

Given values:

  • BCD = 674
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Solution

1. Break Down the Problem

We need to order the angle measures mB m∠B , mC m∠C , and mD m∠D from least to greatest based on their values. The values given are:

  • mB=67 m∠B = 67^\circ
  • mC=74 m∠C = 74^\circ
  • mD=4 m∠D = 4^\circ

2. Relevant Concepts

The concept here is comparing angles. The angle with the smallest numerical value is the least, and the angle with the largest value is the greatest.

3. Analysis and Detail

We can compare the values directly:

  • mB=67 m∠B = 67^\circ
  • mC=74 m∠C = 74^\circ
  • mD=4 m∠D = 4^\circ

4. Verify and Summarize

Now, we arrange the angles based on their measures:

  1. mD=4 m∠D = 4^\circ (smallest)
  2. mB=67 m∠B = 67^\circ
  3. mC=74 m∠C = 74^\circ (largest)

Final Answer

The order of the angle measures from least to greatest is mD,mB,mC m∠D, m∠B, m∠C which translates to 4,67,74 4^\circ, 67^\circ, 74^\circ .

This problem has been solved

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