ABCD-parallelogram, angle B-angle A = 70 degrees find angle D.
| September 19, 2021 | education
In a parallelogram, the sum of adjacent angles is 180, then the angle ABC + BAD = 180.
By condition, Angle ABC – BAD = 70.
Let us solve the system of two equations by the substitution method.
Angle ABC = 180 – BAD.
Then 180 – BAD – BAD = 70.
2 * BAD = 180 – 70 = 110.
Angle BAD = 110/2 = 55.
Then the angle ABC = 55 + 70 = 125.
Since the parallelogram has opposite angles, the angle ADС = ABC = 125.
Answer: Angle ADS is 125
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