Math, asked by brainlyking1325, 8 months ago

Two complementary angles differ. by 13 find the angles ​

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Answered by Anonymous
15

 \boxed{ \tt✦ \underline{GIVEN}}

 \tt⟿diff. \: between \: complementary \: angles \\  \tt  = 13 \degree

 \boxed{ \tt✦ \underline{FIND}}

 \tt⟿COMPLEMENTARY  \: ANGLES \:  ARE ?

 \boxed{ \tt✦ \underline{SOLUTION}}

  \tt\rightarrow let \: the \: f1st \: complementary \: angle \: be \: x \degree

  \tt\rightarrow  2nd\: complementary \: angle \: be \: 90 - x \degree

 \tt Now, \: we \: know \: that \\  \tt sum \: of \: complemenrary \: angles = 90\degree

\tt  \longrightarrow x  -  (90 - x)= 1 3  \degree

\tt  \longrightarrow x - 90 + x= 13 \degree

\tt  \longrightarrow 2x  - 90 =  13  \degree

\tt  \longrightarrow 2x   =  13 + 90

\tt  \longrightarrow 2x   =  103

\tt  \longrightarrow x   =  \frac{ \cancel{103}}{ \cancel2}  = 51.5 \degree

 \tt The \:  first  \: angle = x = 51.5 \degree

 \tt Second  \: angle = 90 - x = 38.5 \degree

Answered by Anonymous
5

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