The measures of the three angles of a triangle are given by $18 x - 7, 12 x + 9$ $18x-7, 12x + 9$ , and $4 x$ $4x$ . What is the measure of the largest angle?

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The measures of the three angles of a triangle are given by $18 x - 7, 12 x + 9$ $18x-7, 12x + 9$ , and $4 x$ $4x$ . What is the measure of the largest angle?

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Answer 1 · 2016-01-06T15:36:54

$\approx 87.2$ $~~87.2$

Explanation:

The angles of a triangle add up to $180$ $180$ degrees or $2 π$ $2pi$ radians.
$:. (18x - 7)+(12x+9)+4x = 180$
$34x +2 = 180$
$x = 178/34$
Then $18x-7 ~~ 87.2$
$12x+9 ~~71.8$
$4x ~~ 20.9$

The largest angle is $87.2$

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The measures of the three angles of a triangle are given by $18 x - 7, 12 x + 9$ $18x-7, 12x + 9$ , and $4 x$ $4x$ . What is the measure of the largest angle?

1 Answer

Explanation:

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The measures of the three angles of a triangle are given by $18 x - 7, 12 x + 9$ $18x-7, 12x + 9$ , and $4 x$ $4x$ . What is the measure of the largest angle?