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One angle of a right triangle measures 80°. What is the measure of the other acute angle? please help i dont understand, ty!!

User Whozumommy
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1 Answer

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Answer:

10 degrees

Explanation:

Triangle Interior Angles:

In a triangle, the interior angles of a triangle (the angles in the inside) will always add up to 180 degrees.

We're given that the triangle is a right triangle which immediately gives us one angle, of 90 degrees, since that's a right angle. We're also given another angle of 80, and adding up these two angles plus the last angle, should give us 180.

Let's represent the unknown angle as "A", giving us the equation:
90 + 80+ A= 180

Now from here we can combine the 90 and 80 to get:


170+A=180

Now from here we subtract 170 from both sides (to maintain equality and get rid of the 170):


170-170+A=180-170

We simplify 170-170 to 0, which we don't need to put in the equation as 0 + A is just A. We also simplify 180 - 170 to 10:


A=10

So the other acute angle is 10 degrees.

User Tanookiben
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