Find the angles obtained at the intersection of two straight lines if the sum of three of these angles is 220 degrees.

| January 10, 2021 | education

Find the angles obtained at the intersection of two straight lines if the sum of three of these angles is 220 degrees. In your answer, indicate the degree measure of the smallest of the angles.

It is known from the condition that the sum of three of the angles formed at the intersection of two straight lines is 220 °. And in the answer, we must indicate the smallest of the angles.
We start the solution by remembering that the sum of the 4 angles formed at the intersection of two straight lines is 360 °.
We know that the sum of three of them is 220 °, which means that it will not be difficult for us to find the degree measure of the fourth of them:
360 ° – 220 ° = 140 °.
Let us recall the property of angles formed when two straight lines intersect – two pairs of angles are vertical angles.
We conclude that we have two corners of 140 °.
To calculate one more pair, let’s do this:
360 ° – 2 * 140 ° = 80 °.
So each of them is equal to 80 °: 2 = 40 °.
Answer: 40 °.



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