Find the undeveloped angles formed at the intersection of two straight lines if the sum of two of them is 114 °

When two straight lines intersect, four corners are formed, two adjacent corners and two parallel corners. All four angles add up to 360 degrees. The sum of two adjacent angles is 180 degrees. The vertical angles are equal to each other.

1) Determine what the degree measure of one vertical angle is equal to.

114/2 = 57 degrees.

2) Let’s calculate what the degree measure of one of the adjacent angles is equal to.

180 – 57 = 123 degrees.

Answer: The non-developed angles formed at the intersection of two straight lines are equal: 57, 57, 123, 123 degrees.



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