A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)° . What are the measures of the two angles that make up the straight line?

Answer 1

The sum of the two adjacent angles that form a straight line is always 180°.

So, we have the equation: (2x+3)° + (x-6)° = 180°

Combining like terms, we get: 3x - 3 = 180

Adding 3 to both sides, we have: 3x = 183

Dividing both sides by 3, we get: x = 61

Now, substituting the value of x back into the equations:

First angle = (2x+3)° = (2(61) + 3)° = 123° + 3° = <<2*61+3=125>>125°

Second angle = (x-6)° = (61-6)° = 55°

Therefore, the measures of the two angles that make up the straight line are 125° and 55°.

Answer 2

The Answer is 121 and 59