Find the angles obtained at the intersection of two straight lines if one of the angles is 58 °.

When two straight lines intersect, two adjacent corners or two vertical corners are formed. The sum of two adjacent angles is 180 degrees. The vertical angles are equal to each other. The sum of the vertical angles is 360 degrees. From the condition of the problem, the degree measure of one of the angles formed at the intersection of two straight lines is known.

Let us determine the degree measure of another adjacent angle formed at the intersection of two straight lines.

180 – 58 = 122 degrees.

Answer: When two straight lines intersect, four angles are formed, the degree measure of which is: 58, 58, 122, 122 degrees.



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