Question

when angle is 20 degree more than its complementary angle then the measure of the angle is

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{angle}\mathrm{be}\mathrm{x}. \\ \mathrm{So},\mathrm{the}\mathrm{compliment}\mathrm{is}90-\mathrm{x} \\ \mathrm{Since},\mathrm{the}\mathrm{angle}\mathrm{is}20°\mathrm{more}\mathrm{than}\mathrm{it}\text{'}\mathrm{s}\mathrm{compliment} \\ \mathrm{x}+20=90-\mathrm{x} \\ 2\mathrm{x}=70 \\ \mathrm{x}=\frac{70}{2} \\ \mathrm{x}=35° \\ \mathrm{Therefore}\mathrm{it}\text{'}\mathrm{s}\mathrm{complement}\mathrm{is}90-35=55° \end{gathered}$$

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