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In a right triangle, the measures of the two smaller angles are 3x+6 and 2x-1 . Find the measure of the smallest angle in the triangle.

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foremanowen2

Answer:

In a right triangle the biggest angle is 90°.

Then the two smaller angles sum up 180° - 90° = 90 °.

Now you can use this equation: 3x + 6 + 2x - 1 = 90 and solve for x:

5 x + 5 = 90

5x = 85

x = 85/5

x = 17

Then, the smallest angle is 2(17) - 1 = 33°

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