Two adjacent angles are on a straight line. One angle has a measure of (5x−28)°

Question

and the other angle has a measure of (8x)°
. What is the measure of the second angle?(1 point)

A. 120°

B. 16°

C. 128°

D. 52°

Answer 1

Since the two angles are adjacent and form a straight line, their measures add up to 180°. We can set up the following equation:

\[ (5x - 28) + (8x) = 180 \]

Simplifying the equation:

\[ 5x - 28 + 8x = 180 \] \[ 13x - 28 = 180 \] \[ 13x = 180 + 28 \] \[ 13x = 208 \] \[ x = \frac{208}{13} \] \[ x = 16 \]

Now, we can find the measure of the second angle, which is given by \(8x\):

\[ 8x = 8 \times 16 = 128° \]

So, the measure of the second angle is:

C. 128°