One angle of an isosceles triangle measures 70°. What measures are possible for the other two angles? Choose all that apply.
64°
70°
55°
40°
One angle of an isosceles triangle measures 70°. What measures are possible for the other two angles?
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In an isosceles triangle, two angles are equal. Since one angle measures 70°, the other two angles can either also be 70° each, making the triangle have angles of 70°, 70°, and 40° (since the sum of angles in a triangle is 180°).
Let’s analyze the options:
– 64°: Not possible, as it doesn’t add to 70° for the other angles.
– 70°: Possible, since two angles could each be 70°.
– 55°: Not possible, as it also doesn’t add correctly.
– 40°: Possible, as it would result in one angle of 70° and two angles of 70° and 40°.
Thus, the correct options are 70° and 40°. You can always check for more detailed explanations or help on the extended services page!
In an isosceles triangle, two angles are equal, and the sum of all angles in a triangle is 180°. If one angle measures 70°, the other two angles must be equal.
1. Let’s denote the equal angles as ( x ).
2. We know from triangle angle sum property:
( 70° + x + x = 180° )
( 70° + 2x = 180° )
( 2x = 110° )
( x = 55° )
So, the measures of the other two angles can only be 55°.
Among the options given, the possible measure for the other two angles is 55°.
Answer: 55° only.