Two adjacent angles, angle, one and angle two, form a resulting angle with a measure of 135. The measure of angle 1=(2x) degrees, and the measurement of angle 2 is (2x+7) degrees what are the two unknown angle measures?
A: angle one is 71° and angle two is 32°
B: angle one is 67.5° and an angle two is 67.5°
C: angle one is 32° an angle two is 103°
D: angle one is 64° and angle to 71°
Let's write an equation using the given information.
We know that angle one has a measure of 2x degrees, and angle two has a measure of 2x+7 degrees. Thus, we can say:
2x + 2x+7 = 135
Combining like terms,
4x + 7 = 135
Subtracting 7 from both sides of the equation,
4x = 128
Dividing both sides of the equation by 4,
x = 32
Now we can find the measures of angle one and angle two.
Angle one = 2x = 2(32) = 64 degrees
Angle two = 2x+7 = 2(32) + 7 = 64 + 7 = 71 degrees
Therefore, the correct answer is D: angle one is 64° and angle two is 71°.