Question

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.
a=100
c=55
25°
335°
80°
45°

Answer 1

To find the measure of angle B in the triangle, you can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle equals 180°.

In this case, we have:
- Angle A = a = 100°
- Angle C = c = 55°

We need to find angle B. According to the theorem:

\[
A + B + C = 180°
\]

Substituting the known values:

\[
100° + B + 55° = 180°
\]

Now, combine the angles:

\[
155° + B = 180°
\]

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

\[
B = 180° - 155°
\]

This simplifies to:

\[
B = 25°
\]

Thus, the measure of angle B is **25°**.