Question

One angle is isosceles Triangle measures 94° what measures are possible for the other two angles choose all that apply
61°
94°
13°
43°

Answer 1

In an isosceles triangle, two of the angles are equal. The sum of all angles in a triangle is always 180°.

Given that one angle measures 94°, we can denote the other two equal angles as \( x \).

The equation for the angles would be:

\[
94° + x + x = 180°
\]

This simplifies to:

\[
94° + 2x = 180°
\]

Subtracting 94° from both sides gives:

\[
2x = 86°
\]

Dividing by 2:

\[
x = 43°
\]

So, in this case, the measures of the other two angles must be 43° each.

Now, let's check the options provided:

- 61° (not possible)
- 94° (not possible because there can’t be three angles of 94°)
- 13° (not possible)
- 43° (possible)

Therefore, the only valid angles for the other two angles in this isosceles triangle are **43°**.