Two adjacent angles, one and two former resulting angle with measure 135°. If m1= (2x) and m2 = (2x+7) what are the two unknown angle measures?
Let's denote the measure of the former angle (angle one) as x, so angle two would be 135 - x.
Given that m1 = 2x and m2 = 2x + 7, we can set up the following equations:
2x + 7 = 135 - x
Combining like terms, we get:
3x = 128
Solving for x:
x = 128 / 3
x = 42.67
Now we can find the measures of the angles:
Angle one (m1) = 2x = 2 * 42.67 = 85.34
Angle two (m2) = 135 - x = 135 - 42.67 = 92.33
So, the two unknown angle measures are approximately 85.34° and 92.33°.