Answer:
y = 54
Step-by-step explanation:
We know the sum of the angles of a triangle are 180
72+y+y = 180
Combine like terms
72 + 2y = 180
Subtract 72 from each side
72-72 +2y = 180-72
2y = 108
Divide each side by 2
2y/2 = 108/2
y = 54
Answer:
164.848 m
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
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