One of the angles formed when two straight lines intersect is 70 degrees

One of the angles formed when two straight lines intersect is 70 degrees larger than the other. What is the degree measure of the smaller of them?

When two straight lines intersect, 4 angles are formed, which are equal in pairs.

A pair of angles that are not equal to them make up a deployed angle, the degree measure of which is 180 °. They are adjacent corners.

If one of them is designated as a, and the second is 70 ° larger than the other (that is, a + 70 °), then their sum is:

a + (a + 70 °) = 180 °;

2 * a + 70 ° = 180 °;

2 * a = 180 ° – 70 °;

2 * a = 110 °;

a = 110 ° / 2;

a = 55 °.

Therefore, the smaller angle is 55 °. That is, the correct answer is 3. 55 °.