Two lines intersect. In this case, the sum of the two angles is equal to 80. Find all the angles.
| July 25, 2021 | education
Since the sum of two angles at the intersection of straight lines is 80º, these angles will be vertical:
∠1 = ∠3 = 80º / 1 = 40º.
Thus:
∠2 = ∠4 = 360º – (∠1 + ∠3) / 2;
∠2 = ∠4 = (360º – 80º) / 2 = 280º / 2 = 140º.
Answer: ∠1 = ∠3 = 40º, ∠2 = ∠4 = 140º.
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