Gujarat BoardEnglish MediumSTD 9MathsLines And Angles2 Marks
Question
An angle is $14^\circ $ more than its complementary angle. What is its measure?
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Answer
Let the angle measures $x^{\circ}$. Therefore, the measure of its complement becomes $(90- x )^{\circ}$ According to the given statement, the angle is $14$ more than its complement. Thus, we have, $x=14+(90-x) x=104-x x+x=1042 x=$
$104 x=\frac{104}{2} x=52$ The measure of its complement becomes $90-x=90-52=38$ Hence, the required angle measures $52^{\circ}$ and its complement measures $38^{\circ}$.
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