In triangle ABC AD-bisector. Angle ADC = 108g angle B = 65g find angle c.
August 8, 2021 | education
| Let us determine the value of the angle ADB, which is the adjacent angle to the angle ADC. The sum of adjacent angles is 180, then the angle BAD = 180 – ADC = 180 – 108 = 72.
The sum of the inner angles of the triangle is 180, then in triangle ABD the angle BAD = 180 – 65 – 72 = 43. Since AD is the bisector of the angle, the angle BAC = 2 * BAD = 2 * 43 = 86.
Then the angle ACB = 180 – BAC – ABC = 180 – 86 – 65 = 29.
Answer: The ACB angle is 29.
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.