Answer:
BC AC AB Longest to shortest.
Step-by-step explanation:
Solve for y
From the last question, 146 is the exterior angle.
That means that
5y + 3 + 4y+8 = 146
9y + 11 = 146 Subtract 11 from both sides
9y = 146 - 11 Combine the right
9y = 135 Divide by 9
y = 135/9
y = 15
Solve for x
x and 146 are supplementary.
x + 146 = 180 Subtract 146 from both sides
x = 180 - 146
x = 34
Solve For <A and <B
A
A = 5y + 3
A = 5*15 + 3
A = 75 + 3
A = 78
B
B = 4y + 8
B = 4*15 + 8
B = 68
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The three angles are
A: 78
B: 68
X: 34
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The side Opposite A is the longest because A is the biggest angle: BC
The side Opposite B is the second longest line: AC
The shortest line is AB
Conclusion
BC, AC, AB
