Find all the angles of the parallelogram if the difference between two of them is 70 degrees.
| August 14, 2021 | education
Find all the angles of the parallelogram if the difference between two of them is 70 degrees.
By the property of the parallelogram, the angle (A) + (B) = 180.
We make up the system: angle (A) + angle (B) = 180,
angle (A) – angle (B) = 70.
Subtract the bottom line from the top line and get 2 angles (A) = 110, angle (A) = 1100/2 = 55, therefore angle (B) = 180 – 55 = 125. According to the parallelogram property, angle (A) = angle (C) = 55, angle (D) = angle (B) = 125.
Answer: angle (A) = 55, angle (B) = 125, angle (C) = 55, angle (D) = 125.
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