The sum of two adjacent angles in a straight line is 180°. So, if one angle has a measure of (2x + 3)°, the other angle must have a measure of (180° - (2x + 3)°).
Also, one angle has a measure of (x - 6)°.
Since we are given that one angle has a measure of , we can set up the equation:
2x + 3 =
Simplifying the equation, we get:
2x = 177
x = 88.5
Now we can substitute the value of x back into the expressions for the two angles:
(2x + 3) = (2 * 88.5 + 3) = 180
(x - 6) = (88.5 - 6) = 82.5
Therefore, the measures of the two angles that make up the straight line are 180° and 82.5°. However, these do not match any of the given options.
Therefore, the correct answer is 180°.
A angle (straight line) is formed by two adjacent angles. One angle has a
measure of and the other has a measure of . What are the
measures of the two angles that make up the straight line? (1 point)
180°
(2x + 3) ° (x − 6) °
121° and 59°
125° and 55°
129° and 51°
186° and 88°
3 answers
which one is correct in the options
Apologies for the confusion. To determine which option is correct, we need to substitute the value of x into the expressions for the two angles.
Let's substitute x = 88.5 into the expressions:
(2x + 3) = (2 * 88.5 + 3) = 180°
(x - 6) = (88.5 - 6) = 82.5°
So, the measures of the two angles that make up the straight line are 180° and 82.5°.
Looking at the options, we can see that the closest match is:
186° and 88°
Therefore, the correct answer is 186° and 88°.
Let's substitute x = 88.5 into the expressions:
(2x + 3) = (2 * 88.5 + 3) = 180°
(x - 6) = (88.5 - 6) = 82.5°
So, the measures of the two angles that make up the straight line are 180° and 82.5°.
Looking at the options, we can see that the closest match is:
186° and 88°
Therefore, the correct answer is 186° and 88°.