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°

Question

the two angles are 100 and 55

Answer 1

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°.