One of the adjacent angles is 48 ° less than the other, find these lumps.
September 4, 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 + 48˚).
3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:
(x + 48˚) + x = 180˚;
x + 48˚ + x = 180˚;
2x + 48˚ = 180˚;
2x = 180˚ – 48˚;
2x = 132˚;
x = 132˚: 2;
x = 66˚.
4. The degree measure of the smaller of the adjacent angles is x = 66˚.
5. What is the degree measure of the larger angle?
x + 48˚ = 66˚ + 48˚ = 114˚.
Answer: The degree of the smaller angle is 66˚, the degree of the larger angle is 114˚.
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.