Mathematics, 28.10.2019 20:31 mirandahamamaox89fl

Given: ∠a and ∠b are complementary angles.

m∠a=3x+105 ; m∠b=−6x−39

prove: m∠b=9°

1. drag and drop reasons into the boxes to correctly complete the proof.

statement reason
∠a and ∠b are complementary angles. given
m∠a=3x+105 ; m∠b=−6x−39 given
m∠a+m∠b=90° definition of complementary angles
3x+105−6x−39=90 substitution property of equality
−3x+105−39=90 simplify.
−3x+66=90 simplify.
−3x=24 ?
x=−8 ?
m∠b=−6(−8)−39 ?
m∠b=48−39 simplify.
m∠b=9° simplify.

Answers: 1

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Given: ∠a and ∠b are complementary angles.

m∠a=3x+105 ; m∠b=−6x−39

prove:...