The difference between the angles adjacent to one side of the parallelogram is 48
April 24, 2021 | education
| The difference between the angles adjacent to one side of the parallelogram is 48 degrees. Find the smaller angle of the parallelogram in degrees.
Given:
Parallelogram;
∠1-∠2 = 48 °;
∠2 =?
Decision:
The angles adjacent to one side of the parallelogram are internal one-sided. The sum of the inner one-sided angles is 180 °. Then:
∠1 + ∠2 = 180 ° (*);
∠1-∠2 = 48 ° (**).
Subtract (**) from (*), then:
∠1 + ∠2- (∠1-∠2) = 180-48;
∠1 + ∠2-∠1 + ∠2) = 132;
2 * ∠2 = 132;
∠2 = 132: 2;
∠2 = 66 °;
Answer: 66 °
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