Question

Question 1: two adjacent angles 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. A 128 B 120 C 52 D 16

Answer 1

Since two adjacent angles on a straight line add up to 180 degrees, we can set up the equation:

(5x - 28) + (8x) = 180

Combining like terms, we have:

13x - 28 = 180

Adding 28 to both sides:

13x = 208

Dividing both sides by 13:

x = 16

Now we can substitute the value of x into the expression for the second angle:

8x = 8(16) = 128

Therefore, the measure of the second angle is 128 degrees.
The correct answer is A) 128.