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Angelina_Jolie [31]

3 years ago

8

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

10°

1 answer:

AlekseyPX3 years ago

8 0

Hint:

(2x+50) + 3x + 90 = 180

Solve for x first.

Then plug x into 2x + 50 and 3x.

Whichever gives you the smaller number is the answer.

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Answer: $\Large\boxed{x=40^\circ}$

Step-by-step explanation:

<u>Given information</u>

∡ 1 = 90°

∡ 2 = 50°

∡ 3 = x°

Total Angle = 180° <em>(Triangle angle sum theorem)</em>

<u>Given formula</u>

∡ 1 + ∡ 2 + ∡ 3 = Total Angle

<u>Substitute values into the formula</u>

(90) + (50) + (x) = (180)

<u>Combine like terms</u>

140 + x = 180

<u>Subtract 140 on both sides</u>

140 + x - 140 = 180 - 140

$\Large\boxed{x=40^\circ}$

Hope this helps!! :)

Please let me know if you have any questions

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

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