One angle of the triangle is 47 degrees, and the third is 23 degrees greater than the second. Find measures of unknown angles.
| February 23, 2021 | education
The first angle is – 47 degrees.
The second angle is x degrees.
The third angle is (x + 23) degrees.
according to the theorem on the sum of angles in a triangle: the sum of angles in a triangle is 180 degrees.
Let’s make the equation:
47 + x + x + 23 = 180.
2x + 70 = 180.
2x = 180 – 70.
2x = 110.
x = 110: 2.
x = 55.
The second angle is 55 degrees.
The third angle is 78 degrees.
Answer: the measures of angles in a triangle are 47, 55 and 78 degrees.
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.
