For ΔABC, m∠A = 32.1° and m∠B = 101.7°. Determine m∠C.
a 133.8°
b 69.6°
c 46.2°
d 43.8°
To find the measure of angle C, we use the property that the sum of the angles in a triangle is 180°.
m∠A + m∠B + m∠C = 180°
We are given that m∠A = 32.1° and m∠B = 101.7°.
32.1° + 101.7° + m∠C = 180°
Combine like terms:
133.8° + m∠C = 180°
Now subtract 133.8° from both sides of the equation:
m∠C = 180° - 133.8°
m∠C = 46.2°
So, m∠C = 46.2°.
The answer is c) 46.2°.