In the ABSD parallelogram, angles A and B are referred to as 2 to 3. Find the standard measure of the angle C.
| May 30, 2021 | education
Let the value of the angle BAD = 2 * X0, then, by condition, the angle ABC = 3 * X0.
In a parallelogram, the sum of adjacent angles is 180, then 2 * X + 3 * X = 180.
5 * X = 180.
X = 180/5 = 36.
Angle BAD = 2 * 36 = 72.
In a parallelogram, opposite angles are equal, then the angle BСD = BAD = 72.
Answer: Angle C is 72.
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