Question

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Answer 1

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°