Complementary & Supplementary Angles

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Discussion Overview

The discussion revolves around solving problems related to complementary and supplementary angles in geometry. Participants are addressing two specific problems involving angle measures and their relationships, focusing on the mathematical reasoning required to find the measures of the angles.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents two problems involving angle measures: one concerning supplementary angles and the other concerning complementary angles.
  • Another participant emphasizes the importance of showing progress or initial thoughts when asking for help to facilitate better assistance.
  • A participant expresses uncertainty about how to approach the problems presented.
  • One participant outlines the equations for the first problem, stating that the sum of the angles is 180 degrees and provides a formula relating the measures of the angles.
  • Another participant explains the definitions of supplementary and complementary angles and sets up the equations for both problems, detailing how to solve for the measures of the angles.

Areas of Agreement / Disagreement

Participants generally agree on the definitions of supplementary and complementary angles and the approach to setting up the equations. However, there is no consensus on the solutions to the problems as participants have not yet worked through the calculations together.

Contextual Notes

Some assumptions about the participants' understanding of angle relationships and algebraic manipulation are not explicitly stated. The discussion does not resolve the mathematical steps needed to find the angle measures.

bernardl
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The m<P is three less than twice the measure of <Q. If <P and <Q are supplementary angles, find the measures of both angles.
The m<B is two more than three times the measure of <C. If <B and <C are complementary angles, find the measures of both angles.
 
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Hello! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
I honestly don't know how to do both of those questions!
 
O.k., let's try the first one. mP + mQ = 180 degrees. mP = 2mQ - 3. Make sense? Can you solve it now?
 
"The m<P is three less than twice the measure of <Q. If <P and <Q are supplementary angles, find the measures of both angles."
Do you know that "supplementary angles" means their measures sum to 180 degrees? m<P+ m<Q= 180. You are also told that m<P= 2m<Q- 3 so (2m<Q- 3)+ m<Q= 3m<Q- 3= 180. Solve that for m<Q then use m<P+ m<Q= 180 to find m<P "The m<B is two more than three times the measure of <C. If <B and <C are complementary angles, find the measures of both angles."

"Complementary angles" are angles whose measures add to 90 degrees. So m<B+ m<C= 90.
"m<B is two more than three times the measure of <C" means that m<B= 3m<C+ 2.
So m<B+ m<C= (3m<C+ 2)+ m<C= 4m<C+ 2= 90. Solve that for m<C then use m<B+ m<C= 90 to find m<B.
 

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