Question

SKIP (2)

First try was incorrect
What is the value of x? Your answer may be exact or rounded to the
nearest tenth.
-3x
96"
31"

Sorry about the blurry pic

Answer 1

Exact answer (x = -127/3) or Rounded answer (x = -42.3)

Explanation:

First, we will need to find the measure of the third angle in the triangle, which we can call angle y:

The sum of all the angles in a triangle is always 180, so we can find the measure of angle y by subtracting the sum of the two angles we know from 180:

`y+96+31=180\\y+127=180\\y=53`

Angle y and the angle measuring -3x° are supplementary angles, which means the sum of these two angles is 180°.

We know that they're supplementary because of the straight line that separates them, because straight lines create straight angles which are 180°

Thus, we can find the value of x by making the sum of the -3x° angle and the 53° angle equal to 180° and solve for x:

`-3x+53=180\\-3x=127\\x=-43.333333=-43.3\\x=-127/3`

-127/3 is the exact answer, while -43.3 is the rounded answer. Feel free to use any of the two.