Two adjacent angles, angle 1 and angle 2, form a resulting angle with a measure of 135 degrees. If the measure of angle 1 = (2x) dgree and the measure of angle 2 is (2x + 7) dgree, what are the two unknown angle measures?(1 point)
To solve this problem, we can set up an equation. We know that the sum of angle 1 and angle 2 equals 135 degrees, so we can write the equation:
(2x) + (2x + 7) = 135
Simplifying, we have:
4x + 7 = 135
Subtracting 7 from both sides, we have:
4x = 128
Dividing both sides by 4, we have:
x = 32
Now that we know the value of x, we can substitute it back into the equations to find the measures of angle 1 and angle 2:
Angle 1 = 2x = 2(32) = 64 degrees
Angle 2 = 2x + 7 = 2(32) + 7 = 71 degrees
So, the two unknown angle measures are 64 degrees and 71 degrees.