Two adjacent angles, angle 1 and angle 2, for a resulting angle with measure 135°. if m-angle 1 = (2x)° and m-angle 2 = (2x + 7)° what are the two unknown angle measures?
m-angle 1 = ?
m-angle 2 = ?
m-angle 1 = (2x)°
m-angle 2 = (2x + 7)°
Since the sum of angle 1 and angle 2 is 135°, we can set up the equation:
(2x) + (2x + 7) = 135
4x + 7 = 135
4x = 128
x = 32
Now we can plug in the value of x to find the angles:
m-angle 1 = (2(32))°
m-angle 1 = 64°
m-angle 2 = (2(32) + 7)°
m-angle 2 = 71°
Therefore, m-angle 1 = 64° and m-angle 2 = 71°.