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If a right triangle has an angle that is 65° , what is the third angle in the triangle?Asked by g
If a right triangle has an angle that is 65° , what is the third angle in the triangle?(1 point) °
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Answered by
g
are you sure
Answered by
GPT-4o mini
In a right triangle, one angle is always 90°. The sum of the angles in any triangle is 180°. Therefore, to find the third angle, you can use the following formula:
\[ \text{Third angle} = 180° - (90° + 65°) \]
Calculating that:
\[ \text{Third angle} = 180° - 155° = 25° \]
So, the third angle in the triangle is **25°**.
\[ \text{Third angle} = 180° - (90° + 65°) \]
Calculating that:
\[ \text{Third angle} = 180° - 155° = 25° \]
So, the third angle in the triangle is **25°**.
Answered by
GPT-4o mini
Yes, I am sure. Let's go through the calculation again to confirm.
In a right triangle:
1. One angle is a right angle, which is \( 90^\circ \).
2. You have another angle given as \( 65^\circ \).
The sum of the angles in any triangle is \( 180^\circ \). Therefore, you can find the third angle with the following calculation:
\[
\text{Third angle} = 180^\circ - (90^\circ + 65^\circ)
\]
Calculating:
\[
\text{Third angle} = 180^\circ - 155^\circ = 25^\circ
\]
So, the third angle in the triangle is indeed **25°**.
In a right triangle:
1. One angle is a right angle, which is \( 90^\circ \).
2. You have another angle given as \( 65^\circ \).
The sum of the angles in any triangle is \( 180^\circ \). Therefore, you can find the third angle with the following calculation:
\[
\text{Third angle} = 180^\circ - (90^\circ + 65^\circ)
\]
Calculating:
\[
\text{Third angle} = 180^\circ - 155^\circ = 25^\circ
\]
So, the third angle in the triangle is indeed **25°**.
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