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The measure of A is 14 degrees greater than the measure of B. The two angles are complementary. Find the measure of each angle

Sagot :

Bryant061003idn

Answer:

[tex]A = 52[/tex], [tex]B = 38[/tex]

Step-by-step explanation:

The sum of two complementary angles is always [tex]90[/tex]°

[tex]A + B = 90[/tex]

[tex]A = B + 14[/tex]

substitute [tex]A[/tex] for [tex]B = 14[/tex]

[tex](B + 14)+ B = 90[/tex]

[tex]2B + 14 = 90[/tex]

[tex]2B = 76[/tex]

[tex]B = 38[/tex]

input this into the original equation

[tex]A + 38 = 90[/tex]

[tex]A = 52[/tex]

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