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The measures ...

Question

The measures of the angles of a triangle are $2 x, x + 25$ and $3 x + 5$ . Find $x$ and then show that the triangle is isosceles.

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Solution

The correct option is A $25$
Measures of the angle $= 2 x, x + 25, 3 x + 5$
Sum of the angles $= 180$
$2 x + x + 25 + 3 x + 5 = 180 6 x + 30 = 180 6 x = 150 x = 25$

So, the angles of the triangle are
1) $2 x = 50$
2) $x + 25 = 50$
3) $3 x + 5 = 80$
Since two angles are equal, the triangle is isosceles.

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