Two adjacent angles are on a straight line one angle has a measure(5x-28)° and the other angle has a measure of (8)° what is the measure of the second angle

3 answers

Since the two angles are adjacent and on a straight line, their measures sum up to 180 degrees. Let's solve for the value of x using the equation:

(5x-28)° + 8° = 180°

Combining like terms:

5x - 20° = 180°

Adding 20° to both sides:

5x = 200°

Dividing both sides by 5:

x = 40°

Now, we can substitute the value of x back into the equation to find the measure of the first angle:

5x - 28° = 5(40°) - 28° = 200° - 28° = 172°

Therefore, the measure of the second angle is 172°.
Two adjacent angles are on a straight line one angle has a measure(5x-28)° and the other angle has a measure of (8x)° what is the measure of the second angle
Since the two angles are adjacent and on a straight line, their measures sum up to 180 degrees. Let's solve for the value of x using 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°

Now, we can substitute the value of x back into the equation to find the measure of the second angle:

8x = 8(16°) = 128°

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