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An isosceles triangle has an angle that measures 130°. Which other angles could be in that isosceles triangle. Choose all that apply.

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If an isosceles triangle has a 130 degree angle, the other two angles must be 25 degrees since this is the only combination adding to 180.

The measurements of all three angles are: 130°, 25° and 25°

Given that:

The given triangle is isosceles.

The triangle has got one of its angle's measurement as 130°.

Calculations of other two angles:

In an isosceles triangles, at least two of its angles are always equal.

Let those equal angles be A and B.

Let the third angle be C.

Then we have:

[tex]\angle A = \angle B\\\angle A + \angle B + \angle C = 180^\circ\\\angle A + \angle A + \angle C = 180^\circ\\\angle C = 180 - 2 \times \angle A[/tex]

Case 1: [tex]\angle A = \angle B = 130^\circ[/tex]:

This case is not possible since the total of all angles will overflow the limit of 180 degree.

Case 2: [tex]\angle C = 130^\circ[/tex]

In this case:

[tex]\angle C = 180 - 2 \times \angle A\\\\130 = 180 - 2A\\\\A = \dfrac{180-130}{2}\\\\A = 25[/tex]

Thus, both of the similar angles are of 25 degrees.

Thus, the measurements of all three angles are: 130°, 25° and 25°

Learn more about isosceles triangles here:

https://brainly.com/question/9444142

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