Answer:
k=10°
Step-by-step explanation:
<ZYX
<ZYM + <ZYX = 180° ( angle on straight line)
115° + <ZYX = 180°
<ZYX = 180° - 115°
<ZYX = 65°
k
<YZX + <ZXY + <ZYX = 180° ( sum of interior angles of a triangle)
(4k + 5)° + (6k + 10)° + 65° = 180°
10k + 80° = 180°
10k = 180° - 80°
10k = 100°
Multiplying both sides by 10
k = 100°
10
k = 10°
