Math, asked by saisathwik57, 5 months ago

the angels of a triangle are (2x). (3x+5) and (4x-14) find x and measure of angle​

Answers

Answered by ItzAritra6918
5

\huge\fbox\red{\fbox\orange{Solution:-}}

\fbox\red{\fbox\orange{Given:-}}

 \green{Angles\: are:-}

 \pink{(2x)° \: (3x + 5)° \: (4x - 14)°}

\fbox\red{\fbox\orange{Formula}}

 \red{sum \: of \:all \:  angles \: of \: a \: triangle \:  = 180°}

\fbox\red{\fbox\orange{By \: \: the \: problem:-}}

 \blue{(2x) + (3x + 5)+ (4x - 14) = 180} \\ =  >  \orange{2x  + 3x + 5 + 4x - 14 = 180} \\  =  > \green{ 9x - 9 = 180} \\ =  >  \orange{9x = 180 + 9} \\  =  > \pink{9x = 189} \\  =  > \green{x =  \frac{189}{9} } \\ =  >  \blue{x = 21°}

\fbox\red{\fbox\orange{Answer }}

 \orange{1st \: angle = (21 \times 2) = 42°} \\ \green{ 2nd \: ange = (21 \times 3 )+ 5 = 68°} \\  \pink{3rd \:  angle =( 21 \times 4) - 14 = 70°}

 \blue{It \: can \: help \: you.}

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