The sum of two angles, which are obtained when two lines intersect, is 60 degrees.
| April 25, 2021 | education
The sum of two angles, which are obtained when two lines intersect, is 60 degrees. Find the degree measure of these angles.
When two straight lines intersect, four angles are formed, two vertical angles, which are equal to each other. The sum of all four angles is 360 degrees. From the condition of the problem, it is known that the sum of the two angles obtained when two straight lines intersect is 60 degrees, which means that each of the angles is 60/2 = 30 degrees.
1. Find out what the sum of the other two angles, which were obtained at the intersection, is equal to.
360 – 60 = 300 degrees.
2. What is each angle?
300/2 = 150 degrees.
Answer: The degree measure of the angles is 30, 30, 150, 150 degrees.
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