Question
The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle B. (1 point) Responses 25° 25° 335° 335° 80° 80° 45°
the two angles are 100 and 55
the two angles are 100 and 55
Answers
GPT-4o mini
To find the measure of angle B in a triangle using the Triangle Angle Sum Theorem, we can use the following formula:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
In this case, you've provided two angles:
- Angle A = 100°
- Angle C = 55°
Now we can substitute these values into the equation:
\[
100° + \text{Angle B} + 55° = 180°
\]
Next, we will combine the known angles:
\[
155° + \text{Angle B} = 180°
\]
Now, we will isolate Angle B by subtracting 155° from both sides:
\[
\text{Angle B} = 180° - 155°
\]
\[
\text{Angle B} = 25°
\]
So, the measure of angle B is **25°**.
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
In this case, you've provided two angles:
- Angle A = 100°
- Angle C = 55°
Now we can substitute these values into the equation:
\[
100° + \text{Angle B} + 55° = 180°
\]
Next, we will combine the known angles:
\[
155° + \text{Angle B} = 180°
\]
Now, we will isolate Angle B by subtracting 155° from both sides:
\[
\text{Angle B} = 180° - 155°
\]
\[
\text{Angle B} = 25°
\]
So, the measure of angle B is **25°**.