An angle is 14° more than its complementary angle. What is its measure?

Question:

An angle is 14° more than its complementary angle. What is its measure?

Solution:

Let the angle in case be 'x'

Complementary angle of 'x' is (90 - x)

From given data,

x - (90 - x) = 14

x - 90 + x = 14

2x = 90 + 14

2x = 104

x = 104/2

x = 52

Hence the angle in case is found to be 52°

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