Question

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

128
120
16
52

Answer 1

To find the measure of the second angle, we know that the sum of the measures of two adjacent angles on a straight line is 180 degrees.

So, we can set up the equation (5x-28) + (8x) = 180 and solve for x:

5x - 28 + 8x = 180
13x - 28 = 180
13x = 208
x = 16

Now, we can substitute x back into the measure of the second angle (8x) to find its measure:

8(16) = 128

Therefore, the measure of the second angle is 128 degrees.

Answer: 128