Sum of three angles obtained by intersecting two straight lines 240 degrees. Find all angles.
| January 26, 2021 | education
The sum of all four undeveloped angles at the intersection of two straight lines is 360 °. Since we know the sum of the three angles, we find the fourth angle:
360 ° – 240 ° = 120 °;
The sum of two adjacent (adjacent) angles at the intersection of two straight lines is 180 ° (since it constitutes a deployed angle), we find an adjacent angle to an angle of 120 °:
180 ° – 120 ° = 60 °;
When straight lines intersect, the vertical angles are equal, therefore, when these straight lines intersect, two vertical angles of 60 ° and two vertical angles of 120 ° were formed.
Answer: 60 °, 60 °, 120 °, 120 °
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