The two angles of the triangle are equal to and greater than the third angle by 24 degrees.
June 15, 2021 | education
| The two angles of the triangle are equal to and greater than the third angle by 24 degrees. Find these angles and build a triangle with these angles
By the condition of the problem, a triangle is given.
It is known that two of the three angles of a given triangle are equal.
For the solution, the degree measures of these two angles will be denoted as a °.
Then, given that these angles are 24 ° more than the third, the degree measure of the third angle will be a – 24 °.
Let’s make the equation:
a + a + a – 24 = 180;
3a – 24 = 180;
3a = 180 + 24;
3a = 204;
a = 204/3;
a = 68 °, the degree measure of the first and second angles.
68 – 24 = 44 °, third angle.
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.