Math Problem Statement

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m∠COD = x - 6 and m∠DOE = x + 130. Find the measure of each angle. If m∠COD = 98 and m∠DOE = 52, type your answer as 98,52 with NO spaces.

Solution

The problem you're working on involves two angles, COD\angle COD and DOE\angle DOE, and their respective expressions:

  • mCOD=x6m\angle COD = x - 6
  • mDOE=x+130m\angle DOE = x + 130

You need to find the measures of these angles, likely by solving for xx, and the sum of the angles involved is probably based on a geometric relationship such as a straight line (which adds to 180°) or some other condition.

However, you are also given the specific angle measures:

  • mCOD=98m\angle COD = 98^\circ
  • mDOE=52m\angle DOE = 52^\circ

Solution:

  1. Use the provided angle measures to directly input the answer as the problem states, without spaces:
    Answer: 98,52

This is based on the instructions in the question that say if mCOD=98m\angle COD = 98 and mDOE=52m\angle DOE = 52, the answer should be entered as 98,52.


Would you like to explore the equation-solving process to find xx as well?

Here are some related questions:

  1. How do you solve for xx if you know both angle measures?
  2. Why is the sum of these two angles equal to 180° in this problem?
  3. What is the significance of supplementary angles in geometry?
  4. How do linear pairs of angles help in solving angle problems?
  5. What are some other ways to calculate unknown angles in a geometric figure?

Tip: Always check if angles form a straight line or other common geometric relationships like complementary or vertical angles.

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Math Problem Analysis

Mathematical Concepts

Geometry
Algebra
Linear Pair of Angles

Formulas

m∠COD + m∠DOE = 180° (Linear Pair)

Theorems

Supplementary Angles
Linear Pair Theorem

Suitable Grade Level

Grades 6-8