The interior angles of a triangle are $(x+10)°$ , $(3x)°$ , and $(2x+30)°$ . What is the value of $x$ ?

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Answer 1 · 2015-12-17T07:46:22

Euclid's postulate: The sum of the measures of the interior angles of a triangle is 180 degrees.

$color(white)(xx)x+10+3x+2x+30=180$
$=>6x+40=180$
$=>6x+40color(red)(-40)=180color(red)(-40)$
$=>color(red)(1/6xx)6x=color(red)(1/6xx)140$

$=>x=70/3$

The interior angles of a triangle are (x+10)°(x+10)°, (3x)°(3x)°, and (2x+30)°(2x+30)°. What is the value of xx?