Math, asked by farnasheik2008, 6 months ago

three angles of a triangle are (2x+2)°,x° and (2x-7)°. find the value of x

Answers

Answered by Anonymous
4

Answer:

2x+2+x+2x-7=180 angle sum property of triangle

5x-3=180

x=183/5

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Answered by Flaunt
63

\huge\tt{\bold{\underline{\underline{Question᎓}}}}

three angles of a triangle are (2x+2)°,x° and (2x-7)°. find the value of x

\huge\tt{\bold{\underline{\underline{Answer᎓}}}}

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We know that sum of angles of a traingle is 180°

Given :Three angles (2x+2)° ,x° &(2x-7)°

\bold{\boxed{Sum\: of \:angles \:of \:a \:traingle =180°}}

 =  > 2x + 2 + x + 2x - 7 = 180

 =  > 5x + 2 - 7 = 180

 =  > 5x - 5 = 180

 =  > 5x = 185

 =  > x =  \frac{185}{5}  = 37

First angle is (2x+2)°=2×37+2=\bold{\red{76°}}

second angle is x=\bold{\blue{37°}}

Third angle is (2x-7)°=2×37-7=74-7=\bold{\green{67°}}

Now ,check :-

\bold{\boxed{{\red{76° }}+{\blue{ 37°}}+ {\green{67 °}}= 180°}}

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