Two adjacent angles, one and two from form a resulting anger with measures 135 if one equals 2X and two equals 2X +7° what are the two unknown Ingles measurements

Answer 1

Let's assume that angle one measures 2X and angle two measures 2X + 7°.

Given that the resulting angle measures 135°, we can set up the equation: angle one + angle two = 135°

2X + (2X + 7°) = 135°
4X + 7° = 135°
4X = 135° - 7°
4X = 128°
X = 128°/4
X = 32°

Now, we can substitute this value of X back into the equations to find the measurements of the unknown angles.

Angle one: 2X = 2(32°) = 64°
Angle two: 2X + 7° = 2(32°) + 7° = 64° + 7° = 71°

Therefore, the two unknown angle measurements are 64° and 71°.