Math Problem Statement

Use the angle measures to complete the statement: Arrange the angles of triangle ABC in order based on their measures.

Solution

From the image, you are asked to use the angle measures of triangle ABC\triangle ABC to determine the correct order for the given statement. The measures of the angles in the triangle are:

  • mA=43.8m\angle A = 43.8^\circ
  • mB=102.9m\angle B = 102.9^\circ
  • mC=33.3m\angle C = 33.3^\circ

The order of the angles is likely asking you to sort them based on their size. From the triangle, the sizes of the angles are as follows:

  1. Largest: mB=102.9m\angle B = 102.9^\circ
  2. Second largest: mA=43.8m\angle A = 43.8^\circ
  3. Smallest: mC=33.3m\angle C = 33.3^\circ

Thus, the correct answer corresponds to the order: mB>mA>mC.m\angle B > m\angle A > m\angle C.

This matches option b: mB>mA>mCm\angle B > m\angle A > m\angle C.


Would you like a detailed explanation of triangle angle properties or further clarifications?


Here are five related questions to deepen your understanding:

  1. Why do the angles in a triangle always add up to 180180^\circ?
  2. What is the relationship between the size of an angle and the length of its opposite side in a triangle?
  3. How can you determine if a triangle is obtuse, acute, or right from its angle measures?
  4. Can a triangle have two obtuse angles? Why or why not?
  5. What happens to the angle measures when the triangle becomes equilateral?

Tip: In any triangle, the largest angle is always opposite the longest side!

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle measures in triangles
Ordering angles

Formulas

Sum of angles in a triangle equals 180°

Theorems

Triangle angle sum theorem

Suitable Grade Level

Grades 6-8