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timurjin [86]
3 years ago
6

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

Geography
1 answer:
Goryan [66]3 years ago
3 0

Answer:

The greatest angle is 18x-7

Explanation:

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

The given angles of a triangle are 18x-7,12x+9,4x

Therefore,

18x-7+12x+9+4x=180°

34x+2=180°

34x=178°

x=\frac{178}{34}=\frac{89}{17}

18x-7=18(\frac{89}{17})-7=\frac{1602-119}{17}=\frac{1483}{17}≈ 87.2°

12x+9=12(\frac{89}{17})+9=\frac{1068+153}{17}=\frac{1221}{17} ≈ 71.8°

4x=4(\frac{89}{17})=\frac{356}{17} ≈ 20.9°

Therefore, greatest angle is 18x-7

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