Answer:
Explanation:
Statements Reasons
∠A and ∠B are supplementary Given
m∠A = (4x - 16), m∠B = (2x + 4) Given
m∠A + m∠B = 180° Definition of supplementary angles
4x - 16 + 2x + 4 = 180° Substitution property of equality
6x - 16 + 4 = 180 Simplify
6x - 12 = 180 Simplify
6x = 192 Addition property of equality
x = 32 Division property of equality
m∠B = 2(32) + 4 Substitution property of equality
m∠B = 64 + 4 Simplify
m∠B = 68° Simplify