Answer:
a. (5x - 2)° + (2x - 2)° + x° = 180°
b. m<113°,
m<K = 44°,
m<L = 23°
Step-by-step explanation:
Given:
m<J = (5x - 2)°
m<K = (2x - 2)°
m<L = x°
Required:
a. the equation to find x,
b. m<J, m<K, and m<L
Solution:
a. m<J + m<K + m<L = 180° (sum of triangle)
Substitute
(5x - 2)° + (2x - 2)° + x° = 180°
Solve for x
5x - 2 + 2x - 2 + x = 180
Add like terms
8x - 4 = 180
8x - 4 + 4 = 180 + 4
8x = 184
8x/8 = 184/8
x = 23°
b. ✔️m<J = (5x - 2)°
Plug in the value of x
m<J = 5(23) - 2 = 113°
✔️m<K = (2x - 2)° = 2(23) - 2
m<K = 44°
✔️m<L = x = 23°
