Find all angles of a triangle whose angles are-
2x+2
X
2x-7
Answers
Step-by-step explanation:
89
180
93.5
Is the correct answer of above queestion
Thanks
Answer:
Three angles of a triangle are (2x+2)°,x° and (2x-7)°. find the value of x
\huge\tt{\bold{\underline{\underline{Answer᎓}}}}
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°}}
Sumofanglesofatraingle=180°
= > 2x + 2 + x + 2x - 7 = 180=>2x+2+x+2x−7=180
= > 5x + 2 - 7 = 180=>5x+2−7=180
= > 5x - 5 = 180=>5x−5=180
= > 5x = 185=>5x=185
= > x = \frac{185}{5} = 37=>x=
5
185
=37
First angle is (2x+2)°=2×37+2=\bold{\red{76°}}76°
second angle is x=\bold{\blue{37°}}37°
Third angle is (2x-7)°=2×37-7=74-7=\bold{\green{67°}}67°
Now ,check :-
\bold{\boxed{{\red{76° }}+{\blue{ 37°}}+ {\green{67 °}}= 180°}}
76°+37°+67°=180°
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Step-by-step explanation:
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