Answer:
[tex]A = 52[/tex]
Step-by-step explanation:
Given
[tex]A = 14 + B[/tex]
Required
Find A
Since both angles are complementary; then:
[tex]A + B = 90[/tex]
Solve for B in [tex]A = 14 + B[/tex]
[tex]B = A - 14[/tex]
Substitute [tex]B = A - 14[/tex] in [tex]A + B = 90[/tex]
[tex]A + A - 14 = 90[/tex]
[tex]2A - 14 = 90[/tex]
Solve for 2A
[tex]2A = 90 + 14[/tex]
[tex]2A = 104[/tex]
Solve for A
[tex]A = 104/2[/tex]
[tex]A = 52[/tex]
