Answer to Question #133561 in Geography for Brandy

Question

the angle measures of a triangle are 2x+3 degrees, 9x-7 degrees, and 7x+4 degrees.which of the following is NOT one of the angle measures of the triangle A)23 degrees B)74 degrees C)83 degrees D)97 degrees

Answer 1

We have three angles:

$$\alpha=2x+3,\\ \beta=9x-7,\\ \gamma=7x+4.$$

The sum of angles in a flat 2D triangle is 180°:

$$180°=\alpha+\beta+\gamma,\\ 180°=(2x+3)+(9x-7)+(7x+4),\\ 180°=18x,\\ x=10°.$$

Substituting this value for any of the given angles, we see that 97° is what does not belong to this triangle.