Two adjacent angles <1 ans <2 form a resulting angle with 135. If m<1=(2x) and m<2= (2x+7) what are the two unknown angle measures
We know that the sum of the angle measures in a straight line is 180 degrees. Since <1 and <2 are adjacent angles, they add up to form a straight line angle of 180 degrees.
Therefore, we can set up the following equation:
(2x) + (2x + 7) = 180
Simplifying the equation, we have:
4x + 7 = 180
Subtracting 7 from both sides:
4x = 173
Dividing both sides by 4:
x = 43.25
Now we can find the measures of <1 and <2:
<1 = (2 * 43.25) = 86.5 degrees
<2 = (2 * 43.25 + 7) = 93.5 degrees
Therefore, the measures of unknown angles <1 and <2 are 86.5 degrees and 93.5 degrees, respectively.