Answer: Bottom row = 55°, 75°, and 56°
Top angle = 79°
<u>Step-by-step explanation:</u>
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:
<u>Bottom Left Triangle</u>
45 + 80 + ? = 180
125 + ? = 180
? = 55
<u>Bottom Center Triangle</u>
54 + 51 + ? = 180
105 + ? = 180
? = 75
<u>Bottom Right Triangle</u>
50 + 74 + ? = 180
124 + ? = 180
? = 56
<u>Big Triangle</u>
56 + 45 + ? = 180 <em>56 was calculated from the bottom right triangle</em>
101 + ? = 180
? = 79