Question

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?(1 point) Responses 120° 120 degrees 52° 52 degrees 16° 16 degrees 128°

Answer 1

The sum of two adjacent angles on a straight line is always 180 degrees.

So, we can write the equation: (5x - 28) + (8x) = 180.

Combine like terms: 13x - 28 = 180.

Add 28 to both sides: 13x = 208.

Divide by 13: x = 16.

Now substitute the value of x back into the second angle's measure: (8x) = (8 * 16) = 128.

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