An isosceles triangle has an angle that measures 80°. What measures are possible for the other two angles? Choose all that apply.
40°
50°
20°
80°
An isosceles triangle has an angle that measures 80°. What measures are possible for the other two angles?
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In an isosceles triangle, two angles are equal, and the sum of all angles in a triangle is always 180°.
Given that one angle measures 80°, the remaining two angles can be denoted as ( x ) (since they are the ones that are equal). We can set up the equation:
[ 80° + x + x = 180° ]
This simplifies to:
[ 80° + 2x = 180° ]
Subtracting 80° from both sides gives:
[ 2x = 100° ]
Dividing by 2 results in:
[ x = 50° ]
Thus, the two other angles must each measure 50°.
From the options given, the possible measures for the other two angles are:
– 50°
The other options (40°, 20°, and another 80°) do not satisfy the conditions for the angles in this isosceles triangle.
So, the correct answer is 50°. If you have further questions or need additional assistance, feel free to ask!