Math, asked by sunandanandewar, 10 months ago

one of the acute angles of a right triangle is 36 degrees .find the other acute angle.i want sollution

Answers

Answered by vedantgames

Answer:

A five corner star has an angle of 36 degrees. This means that the other two angles of that triangle would be 72 degrees each

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Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{required angle = 54°}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

A right angle triangle ABC

$\angle B = 90°$

$\angle C = 36°$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

$\angle A$

$\LARGE{\underline{\mathtt{\textcolor{teal}{Construction :-}}}}$

See the attachments.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Angle-sum property of a triangle.

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We know that,

$In \: \triangle ABC \: ,$

$\angle A + \angle B + \angle C = 180° \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \left[ angle-sum \: property \: of \: a \: \triangle \right]$

$\implies \angle A + 90° + 36° = 180°$

$\implies \angle A + 126° = 180°$

$\implies \angle A = 180° - 126°$

$\implies \angle A = ( 180 - 126 )°$

$\implies \angle A = 54°$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

measure of the other angle = 54°

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