Question

For Angle ABC, ,m∠A = 41.3° and m∠B = 103.4)°, determine m∠C

Answer 1

The measure of angle C in Angle ABC can be calculated using the sum of angles in a triangle, which equals 180 degrees. After applying the given measures of angles A and B, we find that m∠C = 35.3 degrees.

Step-by-step explanation:

To determine the measure of angle C in Angle ABC, we need to apply the fact that the sum of angles in any triangle equals 180 degrees. We are given that:

• m∠A = 41.3°
• m∠B = 103.4°

To find the measure of angle C (m∠C), we use the equation:

m∠A + m∠B + m∠C = 180°

Substituting the provided values:

41.3° + 103.4° + m∠C = 180°

Adding the measures of Angle A and Angle B:

144.7° + m∠C = 180°

Subtracting 144.7 degrees from both sides to solve for m∠C:

m∠C = 180° - 144.7°

m∠C = 35.3°

Therefore, the measure of angle C is 35.3 degrees.