One of the adjacent angles is 24 ° larger than the other. find these corners.
June 19, 2021 | education
| 1. Let us denote the degree measure of the smaller of the adjacent angles by x.
2. Determine the degree measure of the larger angle:
(x + 24˚).
3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:
(x + 24˚) + x = 180˚;
x + 24˚ + x = 180˚;
2x + 24˚ = 180˚;
2x = 180˚ – 24˚;
2x = 156˚;
x = 156˚: 2;
x = 78˚.
4. The degree measure of the smaller of the adjacent angles is x = 78˚.
5. What is the degree measure of the larger angle?
x + 24˚ = 78˚ + 24˚ = 102˚.
Answer: the degree of the smaller angle is 78˚, the degree of the larger angle is 102˚.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.