Solve x please i will give brainleset thingy

x = 84

Step-by-step explanation:

1. Solve for m<R

The sum of angles in a triangle is 180 degrees, regardless of each individual angle measure in the triangle. One can apply that to triangle QRS by stating that;

m<SQR + m<R + m<QSR = 180

Substitute

68 + 3x + m<R = 180

Inverse operations,

m<R = 112 - 3x

2. Solve or m<PSR

Verticle angles theorem states that when two lines intersect, four angles are formed. The angles that are opposite each other are congruent. Using this, one can concluce that;

m<TSU = m<PSR = 4x

3. Solving for x

Now all one has to do is apply the sum of angles in a triangle theorem for triangle PSR

m<P + m<R + m<PSR = 180

Substitute,

x + 112 - 3x + 4x = 180

Simplify

2x + 112 = 180

Inverse operations

2x + 112 = 180

     -112      -112

2x = 168

/5       /5

x = 84