The measure of ∠A is 12° greater than the measure of ∠B. The two angles are complementary. Find the measure of each angle.

Mathematics

2 answers:

denis-greek [22]3 years ago

6 0

Answer:

m<A = 51, m<B = 39

Step-by-step explanation:

x+x+12=90

2x+12=90

2x=78

x=39

m<A = 51, m<B = 39

Vikentia [17]3 years ago

3 0

Answer:

39° = m∠A

51° = m∠B

Step-by-step explanation:

Complementary angles have a sum of their measures = 90

Let x = m∠B

then x + 12 = ∠A

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39° = m∠A

x + 12 = 39 + 12 = 51° = m∠B

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