An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.

Answer 1

If an isosceles triangle has an angle that measures 120°, this means that the other two angles are equal. Let's call these angles x.

Since the sum of the angles in a triangle is always 180°, we can write the equation: 120 + x + x = 180.

Simplifying this equation, we have: 120 + 2x = 180.

Now we can solve for x: 2x = 60.

Dividing both sides of the equation by 2, we find: x = 30.

Therefore, the other two angles of the isosceles triangle each measure 30°.

In summary, the possible measures for the other two angles are 30°.

Answer 2

An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.
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Answer 3

The statement is incorrect. In an isosceles triangle, the two congruent angles are equal to each other. Let's call each of these congruent angles x.

Since the sum of the angles in a triangle is always 180°, we can write the equation: x + x + 120 = 180.

Simplifying this equation, we have: 2x + 120 = 180.

Now we can solve for x: 2x = 60.

Dividing both sides of the equation by 2, we find: x = 30.

Therefore, the other two angles of the isosceles triangle each measure 30°.

In summary, the only possible measure for the other two angles is 30°.