Two adjacent are on a straight line. One angle has a measure of (5x-28)° and the other angle has a measure of (8x)° what is the measure of the second angle
The two angles are adjacent and on a straight line, so their measures add up to 180 degrees. Therefore, we can write the equation:
(5x-28) + (8x) = 180
Combining like terms:
13x - 28 = 180
Adding 28 to both sides:
13x = 208
Dividing both sides by 13:
x = 16
To find the measure of the second angle, we substitute the value of x into the expression (8x):
Second angle = 8(16) = 128°
Therefore, the measure of the second angle is 128 degrees.