SOLUTION: I am not having that much difficulty with Geometry, basically I am new to it. I tend to get in some trouble with it, when it comes to solving the equation. With this it says: *If

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Question 136211This question is from textbook geometry
: I am not having that much difficulty with Geometry, basically I am new to it. I tend to get in some trouble with it, when it comes to solving the equation. With this it says:
*If x and 3x-10 represant the measure of the acute angles of a right triangle, find the value of x.*
Please help me, Thank You=)
This question is from textbook geometry

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of the interior angles of any triangle is 180 degrees. If it is a right triangle, one of the angles has to measure 90 degrees, so the sum of the measures of the two acute angles must be 180 minus 90 = 90 degrees. You are given that the measures of these two angles are x and 3x-10, so we can say that:

x%2B%283x-10%29=90

4x-10=90

4x=100

x=25

Check: One of the angles is 25, the other is 3(25)-10 = 65
25 + 65 = 90