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. the first to angles are 100 and 55



(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°**.