Answer:
K = 84°
L ; M = 48 ; 48
Step-by-step explanation:
L = (5x + 18)
M = (3x + 30)
K = k
L + M + K = 180° (sum of angles in a triangle)
The two base angles are equal :
Hence ;
5x + 18 = 3x + 30
5x - 3x = 30 - 18
2x = 12
x = 6
Hence,
L = 5x + 18 = 5(6) + 18 = 30 + 18 = 48°
M = 3x + 30 = 3(6) + 30 = 48°
K = 180 - (48 + 48)
K = 180 - 96
K = 84°
