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.
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?
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