Question

The sum of the measures of angle A and B is equal to 180

Answer 1

Given:

Measure of Angle A = (3x - 5)

Measure of Angle B = (5x + 9)

Sum of measures of Angle A and B = 180

Thus, we have the equation:

(3x - 5) + (5x + 9) = 180

Let's solve for x:

Remove the parentheses:

3x - 5 + 5x + 9 = 180

Combine like terms:

3x + 5x - 5 + 9 = 180

8x + 4 = 180

Subtract 4 from both sides:

8x + 4 - 4 = 180 - 4

8x + 0 = 176

8x = 176

Divide both sides by 8:

`\begin{gathered} (8x)/(8)=(176)/(8) \\ \\ x=22 \end{gathered}`

Therefore, the value of x is 22

ANSWER:

x = 22