Two adjacent angles, angle 1 and angle 2, form a resulting angle with a measure of 135°
. If the measure of angle 1 = (2x)°
and the measure of angle 2 is (2x+7)°
, what are the two unknown angle measures?
A. Angle 1 is 71° and angle 2 is 32°
B. Angle 1 is 67.5° and angle 2 is 67.5°
C. Angle 1 is 32° and angle 2 is 103°
D. Angle 1 is 64° and angle 2 is 71°
Let's set up an equation based on the given information:
Angle 1 + Angle 2 = Resulting Angle
(2x) + (2x+7) = 135
Simplifying the equation, we get:
4x + 7 = 135
4x = 128
x = 32
Now we can substitute the value of x back into the expressions for angle 1 and angle 2:
Angle 1 = 2x = 2(32) = 64°
Angle 2 = 2x + 7 = 2(32) + 7 = 71°
Therefore, the two unknown angle measures are Angle 1 = 64° and Angle 2 = 71°.
The correct answer is D. Angle 1 is 64° and angle 2 is 71°.