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

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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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