Can a Triangle Have Angles of 55°, 65°, 70°; 53°, 64°, 73°; 80°, 105°, 5°?

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Discussion Overview

The discussion revolves around the validity of various sets of angles as possible angles of a triangle, specifically examining the conditions under which a triangle can exist based on the sum of its angles. It also touches on a separate problem involving the angles of triangle DEF, where one angle is given as negative, leading to confusion.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants question whether the angles 55°, 65°, 70°; 53°, 64°, 73°; and 80°, 105°, 5° can form a triangle, noting that the angles must sum to 180 degrees.
  • One participant states that all the angles in the first three sets sum to 190 degrees, implying that none can form a triangle.
  • Another participant suggests that the question about triangle DEF may have been misinterpreted, specifically regarding the angle F being -44 degrees, which is not valid for a triangle.
  • There is a discussion about the angles D and E in triangle DEF, where it is noted that if D equals E and F is 44 degrees, then D and E must sum to 136 degrees, but without additional information, the individual angles cannot be determined.

Areas of Agreement / Disagreement

Participants generally agree that the angles must sum to 180 degrees for a triangle to exist, but there is confusion and disagreement regarding the interpretation of the problem involving triangle DEF and the implications of negative angles.

Contextual Notes

There is uncertainty about the exact wording of the problem regarding triangle DEF, which affects the interpretation of the angles. Additionally, the assumption that angles can be negative is challenged, as it is not valid in the context of triangle geometry.

elmothemonkey
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thanks.. an explanation on how to do it will help!1.Can a triangle have angles equal to
a. 55°, 65°, 70°
b. 53°, 64°, 73°
c. 80°, 105°, 5°
2. In (triangle)△DEF, <D, <E and <F -44° (deg), Find <D and <E
 
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elmothemonkey said:
thanks.. an explanation on how to do it will help!1.Can a triangle have angles equal to
a. 55°, 65°, 70°
b. 53°, 64°, 73°
c. 80°, 105°, 5°
2. In (triangle)△DEF, <D, <E and <F -44° (deg), Find <D and <E


1) The angles in a triangle sum to 180 degrees, so which of a, b and c do?

2) Please retype this so we can understand it.

CB
 
on number one.. i don't get it.. they all sum 190.. what do i do?
and on number two.. that's what the paper says.. but i think it meant <F is equals to -44 degrees
 
elmothemonkey said:
on number one.. i don't get it.. they all sum 190.. what do i do?

Answer "no", and give the reason.

and on number two.. that's what the paper says.. but i think it meant <F is equals to -44 degrees

What does it mean about angles D and E?

Also a triangle cannot have an internal angle of -44 degrees.

(Try typing exactly what it says in the question together with extra information that is common to the question set etc)

CB
 
in triangle DEF, angle D = angle E and angle F = 44degrees ; find angle D and angle E
here it is.. I am so sorry i thought it says negative.. ​
 
elmothemonkey said:
in triangle DEF, angle D = angle E and angle F = 44degrees ; find angle D and angle E
here it is.. I am so sorry i thought it says negative.. ​


Is that the entire question? Unless we're told the triangle is isosceles we've no way of finding out the other two angles. All we know is that D+E+F = 180 degrees so D+E+44 = 180 which leads us to D+E = 136 degrees but we can't go any further.
 
elmothemonkey said:
in triangle DEF, angle D = angle E and angle F = 44degrees ; find angle D and angle E
here it is.. I am so sorry i thought it says negative.. ​


\(\angle D+\angle E=180^{\circ}-44^{\circ}=136^{\circ}\)

Also since we are told \(\angle D=\angle E\) these are both \(??^{\circ}\).

It would save a lot of time if you took more care to post exactly what you are asked.

CB
 

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