Answer: -30 and 30
Step-by-step explanation:
Answer:
∠AKB = 22°
Step-by-step explanation:
Call the point of intersection of BK and AC point P. Then line BK is a transversal to parallel lines AK and BC. Alternate interior angles AKB and PBC will be congruent.
We know that angle PCB is 68°, the difference between 180° and the sum of the two given angles in ΔABC:
∠PCB = 180° -∠PAB -∠ABC = 180° -59° -53° = 68°
Since PB is an altitude, ∠CPB is a right angle. Then ∠PBC is the complement of ∠PCB, so is ...
∠PBC = 90° -68° = 22°
As we said, this is congruent to ∠AKB, so ...
∠AKB = 22°
Step-by-step explanation:

HOPE THIS HELPS!
Answer:
x = 6
Step-by-step explanation:
As before, ray BG is an angle bisector. This makes CG and AG equal.
4x - 16 = 2x - 4
2x - 16 = -4
2x = 12
x = 6
To check:
4(6) - 16 = 2(6) - 4
24 - 16 = 12 - 4
8 = 8