For ΔABC, m∠A = 41.3° and m∠B = 103.4°. Determine m∠C.
a) 144.7°
b) 72.35°
c) 54.7°
d) 35.3°
To find the measure of angle C, we must use the fact that the sum of the angles in a triangle is always 180 degrees.
m∠C = 180 - m∠A - m∠B
m∠C = 180 - 41.3 - 103.4
m∠C = 180 - 144.7
m∠C = 35.3°
Therefore, m∠C is 35.3°.
The correct answer is (d) 35.3°.