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. the first to angles are 100 and 55

Question

(1 point)
Responses

25°
25°

335°
335°

80°
80°

45°

Answer 1

To find the measure of angle B using the Triangle Angle Sum Theorem, we can use the equation:

\[ \text{Angle A} + \text{Angle B} + \text{Angle C} = 180° \]

Given that the two angles are 100° and 55°, we can plug these values into the equation:

\[ 100° + 55° + \text{Angle B} = 180° \]

Now, combine the known angles:

\[ 155° + \text{Angle B} = 180° \]

Next, isolate angle B by subtracting 155° from both sides:

\[ \text{Angle B} = 180° - 155° \] \[ \text{Angle B} = 25° \]

Thus, the measure of angle B is 25°.