Question

Answer this question pls I need it rn

Answer 1

K = 84°

L ; M = 48 ; 48

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°