Question

a 180 angle straight line is formed by two adjacent angle one angle has a measure of 2x+3 and the other has a measure of x - 6 what are the measuer of the two angels of the two angles make up the strait line

Answer 1

Since the sum of the two adjacent angles forming a straight line is 180 degrees, we can set up the following equation:

(2x + 3) + (x - 6) = 180

Combining like terms:

3x - 3 = 180

Adding 3 to both sides:

3x = 183

Dividing by 3:

x = 61

Now we can find the measures of the two angles:

1st angle: 2x + 3 = 2(61) + 3 = 125 degrees
2nd angle: x - 6 = 61 - 6 = 55 degrees

Therefore, the two angles are 125 degrees and 55 degrees.