One corner of a parallelogram is 14 times the other, find the smaller angle.
| January 9, 2021 | education
As you know from the school geometry course, a parallelogram has the following property: its opposite angles. Therefore, we have two equal large angles and two equal smaller angles. There are four of them. The sum of all the angles of the parallelogram is 360.
Let’s make an equation. Let the smaller angle be x. Then:
2 * (14x) + 2x = 360
28x + 2x = 360
30x = 360 | :thirty
x = 12
Thus, the smaller angle is 12 degrees.
Answer: 12.
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