Answer:
Step-by-step explanation:
In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees. Knowing this, you can write the following equation:
[Equation 1]
Based on the information given in the exercise, you know that:
[Equation 2]
[Equation 3]
Then, you can substitute the Equations 2 and 3 into the Equation 1 and then solve for "M" in order to find the measure of the angle "M" in degrees:
Substituting this value into the Equations 2 and 3, you can find the measure of the angle "N" in degrees and the mesure of the angle "O" in degrees. These are:
Therefore:
You can factor out a 3t first, resulting in:
Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
Simplify, you get your
x's:
To write the equation in simplified form, you just write it this way:
That's your answer ^