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°.