Question
An angle is 14° more than its complementary angle. What is its measure?
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Answer
Let the angle measures x°. Therefore, the measure of its complement becomes (90 - x)° According to the given statement, the angle is 14 more than its complement. Thus, we have, x = 14 + (90 - x) x = 104 - x x + x = 104 2x = 104$\text{x}=\frac{104}{2}$
x = 52 The measure of its complement becomes 90 - x = 90 - 52 = 38 Hence, the required angle measures 52° and its complement measures 38°.
x = 52 The measure of its complement becomes 90 - x = 90 - 52 = 38 Hence, the required angle measures 52° and its complement measures 38°.
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