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

In summary: DEF, angle D = angle E and angle F = 44degrees ; find angle D and angle Ehere it is.. I am so sorry i thought it says negative.. In summary, a triangle can have angles equal to 55, 65, 70, or 53, 64, 73.
  • #1
elmothemonkey
3
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
  • #2
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
 
  • #3
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
 
  • #4
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
 
  • #5
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..
 
  • #6
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.
 
  • #7
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
 

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

Can a triangle have angles of 55°, 65°, 70°?

Yes, a triangle can have angles of 55°, 65°, 70°. This type of triangle is known as an acute triangle, where all three angles are less than 90°.

Can a triangle have angles of 53°, 64°, 73°?

Yes, a triangle can have angles of 53°, 64°, 73°. This type of triangle is known as an obtuse triangle, where one angle is greater than 90°.

Can a triangle have angles of 80°, 105°, 5°?

No, a triangle cannot have angles of 80°, 105°, 5°. This is because the sum of the interior angles of a triangle must always be 180°. In this case, the sum of the given angles is 190°, which is greater than 180°.

What is the sum of the interior angles of a triangle with angles of 55°, 65°, 70°?

The sum of the interior angles of a triangle is always 180°. In this case, the sum of the given angles is 190°, which means that this triangle is not possible.

Can a triangle have two angles that are equal to each other?

Yes, a triangle can have two angles that are equal to each other. This type of triangle is known as an isosceles triangle, where two sides and two angles are equal. However, the third angle in an isosceles triangle must be different from the other two angles, so a triangle with angles of 80°, 105°, 5° is still not possible.

Similar threads

Back
Top