Two adjacent angles∠1 and ∠2, form a resulting angle with measure 135. If m∠1=(2x) and m∠2=(2x+7), what are the twi unkown angle measures?

Answer 1

Since the sum of angles 1 and 2 is 135 degrees, we have:

m∠1 + m∠2 = 135

Substituting the given values for m∠1 and m∠2:

2x + 2x + 7 = 135
4x + 7 = 135
4x = 128
x = 32

Now we can find the measures of angles ∠1 and ∠2:

m∠1 = 2x = 2(32) = 64 degrees
m∠2 = 2x + 7 = 2(32) + 7 = 64 + 7 = 71 degrees

So, the measures of angles ∠1 and ∠2 are 64 degrees and 71 degrees, respectively.