M angle j= (2x+38° and m angle k=4x+26)

m < I = 80°

m < J  = 50°

m < K = 50°

Step-by-step explanation:

Given the isoceles triangle, IJK, where:

m < J  = (2x + 38)°

m < K = (4x + 26)°

In order to solve for x, we can establish the following equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2x + 38 = 4x + 26

Subtract 2x from both sides:

2x - 2x + 38 = 4x - 2x + 26

Subtract 26 from both sides:

38 - 26 = 2x + 26 - 26

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

Substitute the value of x into the equality statement:

m < J = m < K

(2x + 38)° = (4x + 26)°

2(6) + 38 = 4(6) + 26

12 + 38 = 24 + 26

50° = 50°

Therefore, m < J  = 50°, and m < K = 50°.  To find m < I:

m < I = 180° - (m < J + m < K)°

m < I = 180 - (50° + 50°)

m < I = 180° - 100°

m < I = 80°

Therefore, the correct answers are:

m < I = 80°

m < J  = 50°

m < K = 50°

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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step-by-step explanation: