Two adjacent angles are on a straight line. One angle has a measure of (5×-28)° and the other angle has a measure of (8×)°. What is the measure of the second angle?

Answer 1

The sum of two adjacent angles on a straight line is 180 degrees. Therefore, we can write the equation:
(5× - 28) + (8×) = 180
Combining like terms, we get:
13× - 28 = 180
Adding 28 to both sides of the equation, we have:
13× = 208
Finally, dividing both sides of the equation by 13, we find:
× = 16
Substituting this value back into the expression for the second angle:
8× = 8(16) = 128
The measure of the second angle is 128 degrees.