Answer:
Step-by-step explanation:
Step One
Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.
x + 105 = 180 Subtract 105 from both sides
x = 180 - 105
x = 75
y + 148 = 180 Subtract 148 from both sides
y = 180 - 148
y = 32
Step Two
There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.
Method One
x = 32 + 75
x = 107
Method Two
32 + 75 + y = 180
107 + y = 180
y = 180 - 107
y = 73
The sum of x + 73 = 180
x = 180 - 73
x = 107
