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

  • Context: MHB 
  • Thread starter Thread starter elmothemonkey
  • Start date Start date
  • Tags Tags
    Angles Triangle
Click For Summary
SUMMARY

This discussion centers on the validity of triangle angle combinations and the properties of angles in triangle DEF. It is established that a triangle's internal angles must sum to 180 degrees. The combinations of angles 55°, 65°, 70° and 53°, 64°, 73° are valid as they sum to 180 degrees, while the combination of 80°, 105°, and 5° is invalid as it sums to 190 degrees. Additionally, angle F in triangle DEF is given as 44 degrees, leading to the conclusion that angles D and E must sum to 136 degrees, but their individual values cannot be determined without further information.

PREREQUISITES
  • Understanding of triangle angle properties
  • Basic knowledge of angle measurement in degrees
  • Familiarity with isosceles triangles
  • Ability to solve linear equations
NEXT STEPS
  • Study the properties of triangle angles and the Triangle Sum Theorem
  • Learn about isosceles triangles and their angle relationships
  • Explore methods for solving equations involving angle sums
  • Investigate common misconceptions in geometry related to angle measurements
USEFUL FOR

Students studying geometry, educators teaching triangle properties, and anyone seeking to clarify misconceptions about angle sums in triangles.

elmothemonkey
Messages
3
Reaction score
0
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
 
Mathematics news on Phys.org
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
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
13K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 10 ·
Replies
10
Views
31K