AK is the bisector of the CAB angle and the BAD angle minus the CAD angle is 48 degrees. Find the DAK corner.
| March 3, 2021 | education
If you draw the corners, then
CAB = CAD + DAK + KAB (1)
since AK – bisector, then
CAK = KAB = CAB / 2 (2)
By condition
BAD-CAD = 48 (deg.) (3)
BAD + CAD = CAB (4)
From (4) we express BAD and substitute in (3)
CAB-CAD-CAD = 48
CAB = 2 * CAD + 48
CAD = (1/2) * (CAB + 48) (5)
Substitute (2) and (5) in (1) and find DAK
DAK = CAB-CAB / 2 + (CAB + 48) * 1/2
DAK = CAB (1-1 / 2-1 / 2) + 48/2 = CAB * 0 + 24 = 24 (deg)
Answer: DAK = 24 deg.
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.
