The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

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The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

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Answer 1 · 2018-02-28T13:25:33

$x=44$

Explanation:

$"the sum of the angles in a triangle "=180^@$

$"add the 3 given angles and equate to 180"$

$x+4+x+2x=180$

$rArr4x+4=180$

$"subtract 4 from both sides"$

$4xcancel(+4)cancel(-4)=180-4$

$rArr4x=176$

$"divide both sides by 4"$

$(cancel(4) x)/cancel(4)=176/4$

$rArrx=44$

$"the 3 angles in the triangle are therefore"$

$x=44^@,x+4=44+4=48^@,2x=2xx44=88^@$

$"note that "44+48+88=180^@$

Answer 2 · 2018-02-28T13:27:10

$x = 44°$

Explanation:

Angles in a triangle $= 180°$

So

$(x + 4°) + (x) + (2x) = 180°$

$4x + 4° = 180°$

$4x = 176°$

$x = 44°$

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The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

2 Answers

Explanation:

Explanation:

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