What is the measure of angle B if angle A is five times the sum of angle B plus 7.2 degrees?

Let’s solve for the measure of angle B (m∠B) step by step.

1. Since angles A and B are along a straight line, they add up to 180 degrees:

[

m∠A + m∠B = 180°

]

2. According to the problem, m∠A is five times the sum of m∠B plus 7.2°. We can express that mathematically:

[

m∠A = 5(m∠B + 7.2°)

]

3. Now we can substitute the expression for m∠A from the second equation into the first:

[

5(m∠B + 7.2°) + m∠B = 180°

]

4. Let’s simplify this equation:

[

5m∠B + 36 + m∠B = 180°

]

[

6m∠B + 36 = 180°

]

5. Now, subtract 36 from both sides:

[

6m∠B = 144°

]

6. Finally, divide by 6 to solve for m∠B:

[

m∠B = 24°

]

Now we can check the multiple-choice options provided. However, it seems none exactly equals 24°. Please