+1560 The three angles of a triangle have measures $2x + 3y$ degrees, $8x + 15y$ degrees, and $4x - 2y$ degrees. Find $x$ (in degrees).
+1944 According to the Triangle Angle Sum Theorem, the sum of all interior angles of a triangle is always 180 degrees.
Using this information, we can write the equation
\(2x + 3y + 8x + 15y + 4x - 2y = 180\\ 14x + 16y = 180\\ 7x+8y = 90\)
Now, if we were to say that x and y can be any number, then there an infinite amount of choices.
However, if we were to only limit x and y to integers, then \(x=6; y= 6\) is the only solution.
Hope this helps.
~NTS
+1944 According to the Triangle Angle Sum Theorem, the sum of all interior angles of a triangle is always 180 degrees.
Using this information, we can write the equation
\(2x + 3y + 8x + 15y + 4x - 2y = 180\\ 14x + 16y = 180\\ 7x+8y = 90\)
Now, if we were to say that x and y can be any number, then there an infinite amount of choices.
However, if we were to only limit x and y to integers, then \(x=6; y= 6\) is the only solution.
Hope this helps.
~NTS
