Two adjacent angles 1 and 2 form a resulting angle wiht measure 135 degrees. if m 1 =(2x) degrees and m 2= (2x+7) degrees what are the two unknown angle measures?

Answer 1

If the resulting angle formed by angles 1 and 2 is 135 degrees, we can set up an equation to solve for x:

m1 + m2 = 135 degrees
(2x) + (2x + 7) = 135

Combining like terms:
4x + 7 = 135

Subtracting 7 from both sides:
4x = 128

Dividing both sides by 4:
x = 32

Now we can substitute x back into the original expressions for m1 and m2 to find their values:

m1 = 2x = 2(32) = 64 degrees
m2 = 2x + 7 = 2(32) + 7 = 71 degrees

Therefore, the two unknown angle measures are 64 degrees and 71 degrees.