The angles are 18° and 72° respectively.
Since, we are told that they are complementary angles, that means that their sum will be equal to 90°
Therefore E + F = 90°
Based on the question, E = F + 54°. Therefore, E + F = 90°.
F + 54° + F = 90°
Collect like terms
2F = 90 - 54°
2F = 36°
F = 36°/2 = 18°
The value of F is 18°
Therefore, E = F + 54° = 18° + 54° ,= 72°
The angles are 18° and 72°.
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