Question

ΔABC is a right triangle. m ∠A is 6° less than three times m ∠B.

Find m ∠A and m ∠B, assuming ∠A is an acute angle.

Answer 1

m∠A = 3x - 6
m∠B = x

180° = 90° + (3x - 6°) + x
4x - 6° = 180° - 90°
4x = 96°
x = 24°

m∠A = 3(24°) - 6°
m∠A = 66°
m∠B = 24°