Math, asked by haider9536, 1 year ago

R s agarwal two angles of a triangle are equal and the third angle is greater than each one of them by 18

Answers

Answered by abhi569
35
 \mathbf{Let \: equal \: angles \: are \: \: x° \: \: each, } \\ \mathbf{<br />So, other \: unequal \: angle = ( x + 18 )°} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (according \: to \: the \: question)




Sum of all angles of a triangle = 180



So,






=> x + x + x + 18 = 180°

 = &gt; 3x = 180 - 18 \\ \\ = &gt; 3x = 162 \\ \\ = &gt; x = \frac{162}{3} \\ \\ = &gt; x = 54




Hence, Angles are




 \mathbf{<br />Equal \: angles = 54° each} \: \\ \mathbf{<br />Unequal = ( 54 + 18 ) = 72° }
Answered by Diptanshu11
11
X+X+X+18=180°
=>3X=180°-18=162
=>X=54°

THE ANGLE IS (54°+18)=72°
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