Find the missing angle measurements ? ?

Bottom row = 55°, 75°, and 56°

               Top angle = 79°

Step-by-step explanation:

Use the Triangle Sum Theorem, which states that the sum of the angles of a triangle equal 180°.

I am going to evaluate the 3 small triangles on the bottom and then the big triangle:

Bottom Left Triangle

45 + 80 + ? = 180

      125 + ? = 180

                ? = 55

Bottom Center Triangle

54 + 51 + ? = 180

     105 + ? = 180

               ? = 75

Bottom Right Triangle

50 + 74 + ? = 180

      124 + ? = 180

               ? = 56

Big Triangle

56 + 45 + ? = 180     56 was calculated from the bottom right triangle

       101 + ? = 180

                ? = 79

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.