Question

The three angles of a triangle are (2x+2),x*,(2x-7)° then find the

value of all angles.​

Answer 1

Answer:

l43° ,50°, 87°

mark me brainlest

Answer 2

$\large\sf\underline{Given:}$

• First angle = ( 2x + 2 )°

• Second angle = x°

• Third angle = ( 2x - 7 )°

‎

$\large\sf\underline{To\:find:}$

• Value of all the angles

‎

$\large\sf\underline{Solution:}$

We know ,

$\small{\mathfrak\pink{Sum\:of\:all\:angles\:in\:a\: triangle\:=\:180°}}$

So according to the question :

$\sf:\implies\:2x+2+x+2x-7=180$

$\sf:\implies\:2x+x+2x+2-7=180$

$\sf:\implies\:3x+2x+2-7=180$

$\sf:\implies\:5x+2-7=180$

$\sf:\implies\:5x-5=180$

$\sf:\implies\:5x=180+5$

$\sf:\implies\:5x=185$

$\sf:\implies\:x=\frac{185}{5}$

${\sf{{\red{:\implies\:x=37°}}}}$

$\dag\:\underline{\sf Value\:of\:x\:= \:37°}$

‎

◤━━━━━━━━━━━━━━━━━━━━◥

$\large\rm\blue\star\:\underline{Final\:Answers:}$

• substituting the value of x in each angles

$\sf\:First\:angle$

$\sf\:2x+2$

$\sf\to\:2(37)+2$

$\sf\to\:74+2$

$\tt\orange{\to\:76°}$

$\sf\:Second\:angle$

$\sf\to\:x$

$\tt\orange{\to\:37°}$

$\sf\:Third\:angle$

$\sf\to\:2x-7$

$\sf\to\:2(37)-7$

$\sf\to\:74-7$

$\tt\orange{\to\:67°}$

◣━━━━━━━━━━━━━━━━━━━━◢

‎

$\large\sf\underline{Verification\:of\:my\:answers:}$

According to properties of triangle :

$\sf\:First\:angle+Second\:angle+Third\:angle=180°$

$\sf\to\:(76+37+67)°=180°$

$\sf\to\:(113+67)°=180°$

$\sf\to\:180°=180°$

$\dag\:\underline{\sf [\:Hence\: Verified \:]}$

‎

!! Hope it helps !!