Determine the angle between two straight lines, if the difference between the two angles that resulted from their intersection is 70 degrees.
1. Let’s denote the degree measure of the smaller angle through x.
2. Determine the degree measure of the larger angle:
(x + 70˚).
3. The sum of adjacent angles is equal to 180˚, compose and solve the equation:
(x + 70˚) + x = 180˚;
x + 70˚ + x = 180˚;
2x + 70˚ = 180˚;
2x = 180˚ – 70˚;
2x = 110˚;
x = 110˚: 2;
x = 55˚.
4. The degree measure of the smaller angle is 55˚.
Answer: the angle between the straight lines is 55˚.
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