When two straight lines intersect, one of the resulting angles is 1) 75 ° 2) 120 °.

| April 25, 2021 | education

When two straight lines intersect, one of the resulting angles is 1) 75 ° 2) 120 °. Find the degree measures of the remaining angles

1) The opposite angle will also be 75 °. When two straight lines intersect, the sum of all angles will be 360 ​​°.
360 ° – 75 ° – 75 ° = 210 ° are the remaining two angles. These angles will be the same, because they are opposite each other and their sum is 210 °, we will find each of the angles:
210 °: 2 = 105 ° is the degree measure of two more angles.
2) The opposite angle will be 120 °.
360 ° – 120 ° – 120 ° = 120 ° is the sum of the remaining two angles. These angles are the same, because they are opposite each other and their sum is 120 °, we find each of the angles:
120 °: 2 = 60 ° degree measure of two more angles.
Answer: 1) 75 °, 75 °, 105 °, 105 °. 2) 120 °, 120 °, 60 °, 60 °.



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